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Finding the Fourth Proportional to 13,371.42, 20,046.20 and 5,046.70

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Solution

The fourth proportional to 13,371.42, 20,046.20 and 5,046.70 is: 7,565.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,371.42 : 20,046.20 = 5,046.70 : x
  2. Step 2: Convert to fraction form
    13,371.42/20,046.20 = 5,046.70/x
  3. Step 3: Cross multiply
    13,371.42x = 20,046.20 × 5,046.70
  4. Step 4: Simplify right side
    13,371.42x = 101,167,148.17
  5. Step 5: Solve for x
    x = 101,167,148.17/13,371.42
  6. Step 6: Final answer
    x = 7,565.92

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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.