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Finding the Fourth Proportional to 16,082.60, 24,123.10 and 8,292.20

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Solution

The fourth proportional to 16,082.60, 24,123.10 and 8,292.20 is: 12,437.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,082.60 : 24,123.10 = 8,292.20 : x
  2. Step 2: Convert to fraction form
    16,082.60/24,123.10 = 8,292.20/x
  3. Step 3: Cross multiply
    16,082.60x = 24,123.10 × 8,292.20
  4. Step 4: Simplify right side
    16,082.60x = 200,033,569.82
  5. Step 5: Solve for x
    x = 200,033,569.82/16,082.60
  6. Step 6: Final answer
    x = 12,437.89

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1.5x scale

Why These Related Problems?

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