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Finding the Fourth Proportional to 13,422.89, 20,135.55 and 4,538

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Solution

The fourth proportional to 13,422.89, 20,135.55 and 4,538 is: 6,807.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,422.89 : 20,135.55 = 4,538 : x
  2. Step 2: Convert to fraction form
    13,422.89/20,135.55 = 4,538/x
  3. Step 3: Cross multiply
    13,422.89x = 20,135.55 × 4,538
  4. Step 4: Simplify right side
    13,422.89x = 91,375,125.90
  5. Step 5: Solve for x
    x = 91,375,125.90/13,422.89
  6. Step 6: Final answer
    x = 6,807.41

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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.