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Finding the Fourth Proportional to 23,248.56, 32,082 and 13,177.44

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Solution

The fourth proportional to 23,248.56, 32,082 and 13,177.44 is: 18,184.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,248.56 : 32,082 = 13,177.44 : x
  2. Step 2: Convert to fraction form
    23,248.56/32,082 = 13,177.44/x
  3. Step 3: Cross multiply
    23,248.56x = 32,082 × 13,177.44
  4. Step 4: Simplify right side
    23,248.56x = 422,758,630.08
  5. Step 5: Solve for x
    x = 422,758,630.08/23,248.56
  6. Step 6: Final answer
    x = 18,184.29

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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.