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Finding the Fourth Proportional to 19,641.71, 29,470.14 and 9,117.11

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Solution

The fourth proportional to 19,641.71, 29,470.14 and 9,117.11 is: 13,679.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,641.71 : 29,470.14 = 9,117.11 : x
  2. Step 2: Convert to fraction form
    19,641.71/29,470.14 = 9,117.11/x
  3. Step 3: Cross multiply
    19,641.71x = 29,470.14 × 9,117.11
  4. Step 4: Simplify right side
    19,641.71x = 268,682,581.77
  5. Step 5: Solve for x
    x = 268,682,581.77/19,641.71
  6. Step 6: Final answer
    x = 13,679.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.