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Finding the Fourth Proportional to 24,052.59, 36,082.94 and 7,412.13

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Solution

The fourth proportional to 24,052.59, 36,082.94 and 7,412.13 is: 11,119.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,052.59 : 36,082.94 = 7,412.13 : x
  2. Step 2: Convert to fraction form
    24,052.59/36,082.94 = 7,412.13/x
  3. Step 3: Cross multiply
    24,052.59x = 36,082.94 × 7,412.13
  4. Step 4: Simplify right side
    24,052.59x = 267,451,405.00
  5. Step 5: Solve for x
    x = 267,451,405.00/24,052.59
  6. Step 6: Final answer
    x = 11,119.44

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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.