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Finding the Fourth Proportional to 23,713.66, 32,724.84 and 13,103.20

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Solution

The fourth proportional to 23,713.66, 32,724.84 and 13,103.20 is: 18,082.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,713.66 : 32,724.84 = 13,103.20 : x
  2. Step 2: Convert to fraction form
    23,713.66/32,724.84 = 13,103.20/x
  3. Step 3: Cross multiply
    23,713.66x = 32,724.84 × 13,103.20
  4. Step 4: Simplify right side
    23,713.66x = 428,800,123.49
  5. Step 5: Solve for x
    x = 428,800,123.49/23,713.66
  6. Step 6: Final answer
    x = 18,082.41

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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.