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Finding the Fourth Proportional to 16,082.52, 24,118.36 and 7,192.20

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Solution

The fourth proportional to 16,082.52, 24,118.36 and 7,192.20 is: 10,785.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,082.52 : 24,118.36 = 7,192.20 : x
  2. Step 2: Convert to fraction form
    16,082.52/24,118.36 = 7,192.20/x
  3. Step 3: Cross multiply
    16,082.52x = 24,118.36 × 7,192.20
  4. Step 4: Simplify right side
    16,082.52x = 173,464,068.79
  5. Step 5: Solve for x
    x = 173,464,068.79/16,082.52
  6. Step 6: Final answer
    x = 10,785.88

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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.