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Finding the Fourth Proportional to 23,213.92, 32,034.96 and 13,142.08

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Solution

The fourth proportional to 23,213.92, 32,034.96 and 13,142.08 is: 18,135.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,213.92 : 32,034.96 = 13,142.08 : x
  2. Step 2: Convert to fraction form
    23,213.92/32,034.96 = 13,142.08/x
  3. Step 3: Cross multiply
    23,213.92x = 32,034.96 × 13,142.08
  4. Step 4: Simplify right side
    23,213.92x = 421,006,007.12
  5. Step 5: Solve for x
    x = 421,006,007.12/23,213.92
  6. Step 6: Final answer
    x = 18,135.93

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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.