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Finding the Fourth Proportional to 24,823,387.59, 34,256,590.14 and 13,661,165.78

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Solution

The fourth proportional to 24,823,387.59, 34,256,590.14 and 13,661,165.78 is: 18,852,582.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,823,387.59 : 34,256,590.14 = 13,661,165.78 : x
  2. Step 2: Convert to fraction form
    24,823,387.59/34,256,590.14 = 13,661,165.78/x
  3. Step 3: Cross multiply
    24,823,387.59x = 34,256,590.14 × 13,661,165.78
  4. Step 4: Simplify right side
    24,823,387.59x = 467,984,956,960,053.38
  5. Step 5: Solve for x
    x = 467,984,956,960,053.38/24,823,387.59
  6. Step 6: Final answer
    x = 18,852,582.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.