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Finding the Fourth Proportional to 14,785.57, 20,404.07 and 9,480.38

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Solution

The fourth proportional to 14,785.57, 20,404.07 and 9,480.38 is: 13,082.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,785.57 : 20,404.07 = 9,480.38 : x
  2. Step 2: Convert to fraction form
    14,785.57/20,404.07 = 9,480.38/x
  3. Step 3: Cross multiply
    14,785.57x = 20,404.07 × 9,480.38
  4. Step 4: Simplify right side
    14,785.57x = 193,438,223.28
  5. Step 5: Solve for x
    x = 193,438,223.28/14,785.57
  6. Step 6: Final answer
    x = 13,082.90

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Why These Related Problems?

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