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Finding the Fourth Proportional to 20,841.52, 31,262.64 and 6,801.72

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Solution

The fourth proportional to 20,841.52, 31,262.64 and 6,801.72 is: 10,202.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,841.52 : 31,262.64 = 6,801.72 : x
  2. Step 2: Convert to fraction form
    20,841.52/31,262.64 = 6,801.72/x
  3. Step 3: Cross multiply
    20,841.52x = 31,262.64 × 6,801.72
  4. Step 4: Simplify right side
    20,841.52x = 212,639,723.74
  5. Step 5: Solve for x
    x = 212,639,723.74/20,841.52
  6. Step 6: Final answer
    x = 10,202.70

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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.