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Finding the Fourth Proportional to 12,082.24, 16,677.64 and 7,613.52

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Solution

The fourth proportional to 12,082.24, 16,677.64 and 7,613.52 is: 10,509.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,082.24 : 16,677.64 = 7,613.52 : x
  2. Step 2: Convert to fraction form
    12,082.24/16,677.64 = 7,613.52/x
  3. Step 3: Cross multiply
    12,082.24x = 16,677.64 × 7,613.52
  4. Step 4: Simplify right side
    12,082.24x = 126,975,545.69
  5. Step 5: Solve for x
    x = 126,975,545.69/12,082.24
  6. Step 6: Final answer
    x = 10,509.27

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