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Finding the Fourth Proportional to 24,713.92, 34,105.04 and 13,383.16

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Solution

The fourth proportional to 24,713.92, 34,105.04 and 13,383.16 is: 18,468.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,713.92 : 34,105.04 = 13,383.16 : x
  2. Step 2: Convert to fraction form
    24,713.92/34,105.04 = 13,383.16/x
  3. Step 3: Cross multiply
    24,713.92x = 34,105.04 × 13,383.16
  4. Step 4: Simplify right side
    24,713.92x = 456,433,019.87
  5. Step 5: Solve for x
    x = 456,433,019.87/24,713.92
  6. Step 6: Final answer
    x = 18,468.66

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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.