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Finding the Fourth Proportional to 20,030.28, 27,644.19 and 11,646.78

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Solution

The fourth proportional to 20,030.28, 27,644.19 and 11,646.78 is: 16,073.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,030.28 : 27,644.19 = 11,646.78 : x
  2. Step 2: Convert to fraction form
    20,030.28/27,644.19 = 11,646.78/x
  3. Step 3: Cross multiply
    20,030.28x = 27,644.19 × 11,646.78
  4. Step 4: Simplify right side
    20,030.28x = 321,965,799.21
  5. Step 5: Solve for x
    x = 321,965,799.21/20,030.28
  6. Step 6: Final answer
    x = 16,073.95

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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.