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Finding the Fourth Proportional to 13,708.64, 20,565.39 and 4,942.42

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Solution

The fourth proportional to 13,708.64, 20,565.39 and 4,942.42 is: 7,414.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,708.64 : 20,565.39 = 4,942.42 : x
  2. Step 2: Convert to fraction form
    13,708.64/20,565.39 = 4,942.42/x
  3. Step 3: Cross multiply
    13,708.64x = 20,565.39 × 4,942.42
  4. Step 4: Simplify right side
    13,708.64x = 101,642,761.96
  5. Step 5: Solve for x
    x = 101,642,761.96/13,708.64
  6. Step 6: Final answer
    x = 7,414.50

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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.