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Finding the Fourth Proportional to 23,471.16, 32,387.76 and 13,398.54

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Solution

The fourth proportional to 23,471.16, 32,387.76 and 13,398.54 is: 18,488.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,471.16 : 32,387.76 = 13,398.54 : x
  2. Step 2: Convert to fraction form
    23,471.16/32,387.76 = 13,398.54/x
  3. Step 3: Cross multiply
    23,471.16x = 32,387.76 × 13,398.54
  4. Step 4: Simplify right side
    23,471.16x = 433,948,697.87
  5. Step 5: Solve for x
    x = 433,948,697.87/23,471.16
  6. Step 6: Final answer
    x = 18,488.59

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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.