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Finding the Fourth Proportional to 13,422.62, 20,134.13 and 4,657.82

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Solution

The fourth proportional to 13,422.62, 20,134.13 and 4,657.82 is: 6,986.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,422.62 : 20,134.13 = 4,657.82 : x
  2. Step 2: Convert to fraction form
    13,422.62/20,134.13 = 4,657.82/x
  3. Step 3: Cross multiply
    13,422.62x = 20,134.13 × 4,657.82
  4. Step 4: Simplify right side
    13,422.62x = 93,781,029.44
  5. Step 5: Solve for x
    x = 93,781,029.44/13,422.62
  6. Step 6: Final answer
    x = 6,986.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.