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Finding the Fourth Proportional to 19,917.34, 29,869.12 and 8,831.78

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Solution

The fourth proportional to 19,917.34, 29,869.12 and 8,831.78 is: 13,244.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,917.34 : 29,869.12 = 8,831.78 : x
  2. Step 2: Convert to fraction form
    19,917.34/29,869.12 = 8,831.78/x
  3. Step 3: Cross multiply
    19,917.34x = 29,869.12 × 8,831.78
  4. Step 4: Simplify right side
    19,917.34x = 263,797,470.34
  5. Step 5: Solve for x
    x = 263,797,470.34/19,917.34
  6. Step 6: Final answer
    x = 13,244.62

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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.