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Finding the Fourth Proportional to 24,897.69, 34,356.84 and 14,285.07

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Solution

The fourth proportional to 24,897.69, 34,356.84 and 14,285.07 is: 19,712.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,897.69 : 34,356.84 = 14,285.07 : x
  2. Step 2: Convert to fraction form
    24,897.69/34,356.84 = 14,285.07/x
  3. Step 3: Cross multiply
    24,897.69x = 34,356.84 × 14,285.07
  4. Step 4: Simplify right side
    24,897.69x = 490,789,864.38
  5. Step 5: Solve for x
    x = 490,789,864.38/24,897.69
  6. Step 6: Final answer
    x = 19,712.27

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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.