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Finding the Fourth Proportional to 24,082.27, 36,114.04 and 8,284.30

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Solution

The fourth proportional to 24,082.27, 36,114.04 and 8,284.30 is: 12,423.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,082.27 : 36,114.04 = 8,284.30 : x
  2. Step 2: Convert to fraction form
    24,082.27/36,114.04 = 8,284.30/x
  3. Step 3: Cross multiply
    24,082.27x = 36,114.04 × 8,284.30
  4. Step 4: Simplify right side
    24,082.27x = 299,179,461.64
  5. Step 5: Solve for x
    x = 299,179,461.64/24,082.27
  6. Step 6: Final answer
    x = 12,423.23

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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.