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Finding the Fourth Proportional to 21,128.64, 31,691.72 and 6,337.83

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Solution

The fourth proportional to 21,128.64, 31,691.72 and 6,337.83 is: 9,506.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,128.64 : 31,691.72 = 6,337.83 : x
  2. Step 2: Convert to fraction form
    21,128.64/31,691.72 = 6,337.83/x
  3. Step 3: Cross multiply
    21,128.64x = 31,691.72 × 6,337.83
  4. Step 4: Simplify right side
    21,128.64x = 200,856,702.08
  5. Step 5: Solve for x
    x = 200,856,702.08/21,128.64
  6. Step 6: Final answer
    x = 9,506.37

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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.