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Finding the Fourth Proportional to 18,082.60, 24,952.62 and 10,123

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Solution

The fourth proportional to 18,082.60, 24,952.62 and 10,123 is: 13,968.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,082.60 : 24,952.62 = 10,123 : x
  2. Step 2: Convert to fraction form
    18,082.60/24,952.62 = 10,123/x
  3. Step 3: Cross multiply
    18,082.60x = 24,952.62 × 10,123
  4. Step 4: Simplify right side
    18,082.60x = 252,595,372.26
  5. Step 5: Solve for x
    x = 252,595,372.26/18,082.60
  6. Step 6: Final answer
    x = 13,968.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.