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Finding the Fourth Proportional to 22,542.66, 31,107.69 and 12,470.94

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Solution

The fourth proportional to 22,542.66, 31,107.69 and 12,470.94 is: 17,209.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,542.66 : 31,107.69 = 12,470.94 : x
  2. Step 2: Convert to fraction form
    22,542.66/31,107.69 = 12,470.94/x
  3. Step 3: Cross multiply
    22,542.66x = 31,107.69 × 12,470.94
  4. Step 4: Simplify right side
    22,542.66x = 387,942,135.53
  5. Step 5: Solve for x
    x = 387,942,135.53/22,542.66
  6. Step 6: Final answer
    x = 17,209.24

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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.