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Finding the Fourth Proportional to 20,758.52, 31,142.40 and 5,966.28

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Solution

The fourth proportional to 20,758.52, 31,142.40 and 5,966.28 is: 8,950.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,758.52 : 31,142.40 = 5,966.28 : x
  2. Step 2: Convert to fraction form
    20,758.52/31,142.40 = 5,966.28/x
  3. Step 3: Cross multiply
    20,758.52x = 31,142.40 × 5,966.28
  4. Step 4: Simplify right side
    20,758.52x = 185,804,278.27
  5. Step 5: Solve for x
    x = 185,804,278.27/20,758.52
  6. Step 6: Final answer
    x = 8,950.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.