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Finding the Fourth Proportional to 25,221, 34,805.22 and 14,043.24

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Solution

The fourth proportional to 25,221, 34,805.22 and 14,043.24 is: 19,379.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,221 : 34,805.22 = 14,043.24 : x
  2. Step 2: Convert to fraction form
    25,221/34,805.22 = 14,043.24/x
  3. Step 3: Cross multiply
    25,221x = 34,805.22 × 14,043.24
  4. Step 4: Simplify right side
    25,221x = 488,778,057.71
  5. Step 5: Solve for x
    x = 488,778,057.71/25,221
  6. Step 6: Final answer
    x = 19,379.80

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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.