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Finding the Fourth Proportional to 23,082.16, 34,624.92 and 8,291.20

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Solution

The fourth proportional to 23,082.16, 34,624.92 and 8,291.20 is: 12,437.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,082.16 : 34,624.92 = 8,291.20 : x
  2. Step 2: Convert to fraction form
    23,082.16/34,624.92 = 8,291.20/x
  3. Step 3: Cross multiply
    23,082.16x = 34,624.92 × 8,291.20
  4. Step 4: Simplify right side
    23,082.16x = 287,082,136.70
  5. Step 5: Solve for x
    x = 287,082,136.70/23,082.16
  6. Step 6: Final answer
    x = 12,437.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.