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Finding the Fourth Proportional to 20,574.78, 28,393.17 and 11,143.38

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Solution

The fourth proportional to 20,574.78, 28,393.17 and 11,143.38 is: 15,377.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,574.78 : 28,393.17 = 11,143.38 : x
  2. Step 2: Convert to fraction form
    20,574.78/28,393.17 = 11,143.38/x
  3. Step 3: Cross multiply
    20,574.78x = 28,393.17 × 11,143.38
  4. Step 4: Simplify right side
    20,574.78x = 316,395,882.71
  5. Step 5: Solve for x
    x = 316,395,882.71/20,574.78
  6. Step 6: Final answer
    x = 15,377.85

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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.