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Finding the Fourth Proportional to 24,082.55, 36,114.86 and 8,283.15

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Solution

The fourth proportional to 24,082.55, 36,114.86 and 8,283.15 is: 12,421.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,082.55 : 36,114.86 = 8,283.15 : x
  2. Step 2: Convert to fraction form
    24,082.55/36,114.86 = 8,283.15/x
  3. Step 3: Cross multiply
    24,082.55x = 36,114.86 × 8,283.15
  4. Step 4: Simplify right side
    24,082.55x = 299,144,622.03
  5. Step 5: Solve for x
    x = 299,144,622.03/24,082.55
  6. Step 6: Final answer
    x = 12,421.63

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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.