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Finding the Fourth Proportional to 20,123.78, 27,780.81 and 12,574.30

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Solution

The fourth proportional to 20,123.78, 27,780.81 and 12,574.30 is: 17,358.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,123.78 : 27,780.81 = 12,574.30 : x
  2. Step 2: Convert to fraction form
    20,123.78/27,780.81 = 12,574.30/x
  3. Step 3: Cross multiply
    20,123.78x = 27,780.81 × 12,574.30
  4. Step 4: Simplify right side
    20,123.78x = 349,324,239.18
  5. Step 5: Solve for x
    x = 349,324,239.18/20,123.78
  6. Step 6: Final answer
    x = 17,358.78

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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.