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Finding the Fourth Proportional to 16,176.51, 24,264.92 and 5,082.95

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Solution

The fourth proportional to 16,176.51, 24,264.92 and 5,082.95 is: 7,624.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,176.51 : 24,264.92 = 5,082.95 : x
  2. Step 2: Convert to fraction form
    16,176.51/24,264.92 = 5,082.95/x
  3. Step 3: Cross multiply
    16,176.51x = 24,264.92 × 5,082.95
  4. Step 4: Simplify right side
    16,176.51x = 123,337,375.11
  5. Step 5: Solve for x
    x = 123,337,375.11/16,176.51
  6. Step 6: Final answer
    x = 7,624.47

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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.