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Finding the Fourth Proportional to 22,691.68, 31,315.20 and 13,740.80

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Solution

The fourth proportional to 22,691.68, 31,315.20 and 13,740.80 is: 18,962.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,691.68 : 31,315.20 = 13,740.80 : x
  2. Step 2: Convert to fraction form
    22,691.68/31,315.20 = 13,740.80/x
  3. Step 3: Cross multiply
    22,691.68x = 31,315.20 × 13,740.80
  4. Step 4: Simplify right side
    22,691.68x = 430,295,900.16
  5. Step 5: Solve for x
    x = 430,295,900.16/22,691.68
  6. Step 6: Final answer
    x = 18,962.72

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