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Finding the Fourth Proportional to 22,546.68, 31,123.14 and 20,184.72

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Solution

The fourth proportional to 22,546.68, 31,123.14 and 20,184.72 is: 27,862.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,546.68 : 31,123.14 = 20,184.72 : x
  2. Step 2: Convert to fraction form
    22,546.68/31,123.14 = 20,184.72/x
  3. Step 3: Cross multiply
    22,546.68x = 31,123.14 × 20,184.72
  4. Step 4: Simplify right side
    22,546.68x = 628,211,866.42
  5. Step 5: Solve for x
    x = 628,211,866.42/22,546.68
  6. Step 6: Final answer
    x = 27,862.72

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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.