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Finding the Fourth Proportional to 23,410.80, 32,309.94 and 13,342.86

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Solution

The fourth proportional to 23,410.80, 32,309.94 and 13,342.86 is: 18,414.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,410.80 : 32,309.94 = 13,342.86 : x
  2. Step 2: Convert to fraction form
    23,410.80/32,309.94 = 13,342.86/x
  3. Step 3: Cross multiply
    23,410.80x = 32,309.94 × 13,342.86
  4. Step 4: Simplify right side
    23,410.80x = 431,107,006.03
  5. Step 5: Solve for x
    x = 431,107,006.03/23,410.80
  6. Step 6: Final answer
    x = 18,414.88

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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.