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Finding the Fourth Proportional to 23,301.59, 32,157 and 13,229.70

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Solution

The fourth proportional to 23,301.59, 32,157 and 13,229.70 is: 18,257.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,301.59 : 32,157 = 13,229.70 : x
  2. Step 2: Convert to fraction form
    23,301.59/32,157 = 13,229.70/x
  3. Step 3: Cross multiply
    23,301.59x = 32,157 × 13,229.70
  4. Step 4: Simplify right side
    23,301.59x = 425,427,342.31
  5. Step 5: Solve for x
    x = 425,427,342.31/23,301.59
  6. Step 6: Final answer
    x = 18,257.44

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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.