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Finding the Fourth Proportional to 24,778.71, 34,191.01 and 14,166.29

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Solution

The fourth proportional to 24,778.71, 34,191.01 and 14,166.29 is: 19,547.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,778.71 : 34,191.01 = 14,166.29 : x
  2. Step 2: Convert to fraction form
    24,778.71/34,191.01 = 14,166.29/x
  3. Step 3: Cross multiply
    24,778.71x = 34,191.01 × 14,166.29
  4. Step 4: Simplify right side
    24,778.71x = 484,359,866.24
  5. Step 5: Solve for x
    x = 484,359,866.24/24,778.71
  6. Step 6: Final answer
    x = 19,547.42

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