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Finding the Fourth Proportional to 23,229.69, 32,057.31 and 13,157.88

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Solution

The fourth proportional to 23,229.69, 32,057.31 and 13,157.88 is: 18,158.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,229.69 : 32,057.31 = 13,157.88 : x
  2. Step 2: Convert to fraction form
    23,229.69/32,057.31 = 13,157.88/x
  3. Step 3: Cross multiply
    23,229.69x = 32,057.31 × 13,157.88
  4. Step 4: Simplify right side
    23,229.69x = 421,806,077.82
  5. Step 5: Solve for x
    x = 421,806,077.82/23,229.69
  6. Step 6: Final answer
    x = 18,158.06

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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.