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Finding the Fourth Proportional to 22,831.60, 34,230.82 and 15,417.68

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Solution

The fourth proportional to 22,831.60, 34,230.82 and 15,417.68 is: 23,115.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,831.60 : 34,230.82 = 15,417.68 : x
  2. Step 2: Convert to fraction form
    22,831.60/34,230.82 = 15,417.68/x
  3. Step 3: Cross multiply
    22,831.60x = 34,230.82 × 15,417.68
  4. Step 4: Simplify right side
    22,831.60x = 527,759,828.90
  5. Step 5: Solve for x
    x = 527,759,828.90/22,831.60
  6. Step 6: Final answer
    x = 23,115.32

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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.