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Finding the Fourth Proportional to 23,321.31, 32,182.24 and 13,248.42

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Solution

The fourth proportional to 23,321.31, 32,182.24 and 13,248.42 is: 18,282.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,321.31 : 32,182.24 = 13,248.42 : x
  2. Step 2: Convert to fraction form
    23,321.31/32,182.24 = 13,248.42/x
  3. Step 3: Cross multiply
    23,321.31x = 32,182.24 × 13,248.42
  4. Step 4: Simplify right side
    23,321.31x = 426,363,832.06
  5. Step 5: Solve for x
    x = 426,363,832.06/23,321.31
  6. Step 6: Final answer
    x = 18,282.16

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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.