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Finding the Fourth Proportional to 23,387.31, 32,275.80 and 12,777.12

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Solution

The fourth proportional to 23,387.31, 32,275.80 and 12,777.12 is: 17,633.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,387.31 : 32,275.80 = 12,777.12 : x
  2. Step 2: Convert to fraction form
    23,387.31/32,275.80 = 12,777.12/x
  3. Step 3: Cross multiply
    23,387.31x = 32,275.80 × 12,777.12
  4. Step 4: Simplify right side
    23,387.31x = 412,391,769.70
  5. Step 5: Solve for x
    x = 412,391,769.70/23,387.31
  6. Step 6: Final answer
    x = 17,633.14

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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.