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Finding the Fourth Proportional to 24,061.30, 36,082.96 and 8,261.84

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Solution

The fourth proportional to 24,061.30, 36,082.96 and 8,261.84 is: 12,389.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,061.30 : 36,082.96 = 8,261.84 : x
  2. Step 2: Convert to fraction form
    24,061.30/36,082.96 = 8,261.84/x
  3. Step 3: Cross multiply
    24,061.30x = 36,082.96 × 8,261.84
  4. Step 4: Simplify right side
    24,061.30x = 298,111,711.80
  5. Step 5: Solve for x
    x = 298,111,711.80/24,061.30
  6. Step 6: Final answer
    x = 12,389.68

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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.