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Finding the Fourth Proportional to 23,257.87, 32,098.56 and 13,051.71

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Solution

The fourth proportional to 23,257.87, 32,098.56 and 13,051.71 is: 18,012.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,257.87 : 32,098.56 = 13,051.71 : x
  2. Step 2: Convert to fraction form
    23,257.87/32,098.56 = 13,051.71/x
  3. Step 3: Cross multiply
    23,257.87x = 32,098.56 × 13,051.71
  4. Step 4: Simplify right side
    23,257.87x = 418,941,096.54
  5. Step 5: Solve for x
    x = 418,941,096.54/23,257.87
  6. Step 6: Final answer
    x = 18,012.88

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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.