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Finding the Fourth Proportional to 23,227.92, 32,053.80 and 13,157.30

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Solution

The fourth proportional to 23,227.92, 32,053.80 and 13,157.30 is: 18,156.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,227.92 : 32,053.80 = 13,157.30 : x
  2. Step 2: Convert to fraction form
    23,227.92/32,053.80 = 13,157.30/x
  3. Step 3: Cross multiply
    23,227.92x = 32,053.80 × 13,157.30
  4. Step 4: Simplify right side
    23,227.92x = 421,741,302.47
  5. Step 5: Solve for x
    x = 421,741,302.47/23,227.92
  6. Step 6: Final answer
    x = 18,156.65

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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.