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Finding the Fourth Proportional to 20,578.28, 28,398 and 11,146.88

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Solution

The fourth proportional to 20,578.28, 28,398 and 11,146.88 is: 15,382.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,578.28 : 28,398 = 11,146.88 : x
  2. Step 2: Convert to fraction form
    20,578.28/28,398 = 11,146.88/x
  3. Step 3: Cross multiply
    20,578.28x = 28,398 × 11,146.88
  4. Step 4: Simplify right side
    20,578.28x = 316,549,098.24
  5. Step 5: Solve for x
    x = 316,549,098.24/20,578.28
  6. Step 6: Final answer
    x = 15,382.68

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Why These Related Problems?

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