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Finding the Fourth Proportional to 27,689.18, 38,197.78 and 20,123.78

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Solution

The fourth proportional to 27,689.18, 38,197.78 and 20,123.78 is: 27,761.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,689.18 : 38,197.78 = 20,123.78 : x
  2. Step 2: Convert to fraction form
    27,689.18/38,197.78 = 20,123.78/x
  3. Step 3: Cross multiply
    27,689.18x = 38,197.78 × 20,123.78
  4. Step 4: Simplify right side
    27,689.18x = 768,683,479.91
  5. Step 5: Solve for x
    x = 768,683,479.91/27,689.18
  6. Step 6: Final answer
    x = 27,761.16

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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.