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Finding the Fourth Proportional to 22,532.60, 31,092.25 and 12,459.66

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Solution

The fourth proportional to 22,532.60, 31,092.25 and 12,459.66 is: 17,192.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,532.60 : 31,092.25 = 12,459.66 : x
  2. Step 2: Convert to fraction form
    22,532.60/31,092.25 = 12,459.66/x
  3. Step 3: Cross multiply
    22,532.60x = 31,092.25 × 12,459.66
  4. Step 4: Simplify right side
    22,532.60x = 387,398,801.34
  5. Step 5: Solve for x
    x = 387,398,801.34/22,532.60
  6. Step 6: Final answer
    x = 17,192.82

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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.