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Finding the Fourth Proportional to 22,932.87, 31,648.73 and 12,861.88

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Solution

The fourth proportional to 22,932.87, 31,648.73 and 12,861.88 is: 17,750.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,932.87 : 31,648.73 = 12,861.88 : x
  2. Step 2: Convert to fraction form
    22,932.87/31,648.73 = 12,861.88/x
  3. Step 3: Cross multiply
    22,932.87x = 31,648.73 × 12,861.88
  4. Step 4: Simplify right side
    22,932.87x = 407,061,979.48
  5. Step 5: Solve for x
    x = 407,061,979.48/22,932.87
  6. Step 6: Final answer
    x = 17,750.15

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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.