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Finding the Fourth Proportional to 23,201.53, 32,018.20 and 12,591.16

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Solution

The fourth proportional to 23,201.53, 32,018.20 and 12,591.16 is: 17,375.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,201.53 : 32,018.20 = 12,591.16 : x
  2. Step 2: Convert to fraction form
    23,201.53/32,018.20 = 12,591.16/x
  3. Step 3: Cross multiply
    23,201.53x = 32,018.20 × 12,591.16
  4. Step 4: Simplify right side
    23,201.53x = 403,146,167.59
  5. Step 5: Solve for x
    x = 403,146,167.59/23,201.53
  6. Step 6: Final answer
    x = 17,375.85

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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.