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Finding the Fourth Proportional to 20,757, 31,128.78 and 5,966.82

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Solution

The fourth proportional to 20,757, 31,128.78 and 5,966.82 is: 8,948.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,757 : 31,128.78 = 5,966.82 : x
  2. Step 2: Convert to fraction form
    20,757/31,128.78 = 5,966.82/x
  3. Step 3: Cross multiply
    20,757x = 31,128.78 × 5,966.82
  4. Step 4: Simplify right side
    20,757x = 185,739,827.08
  5. Step 5: Solve for x
    x = 185,739,827.08/20,757
  6. Step 6: Final answer
    x = 8,948.30

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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.