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Finding the Fourth Proportional to 12,841.92, 17,720.46 and 7,175.52

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Solution

The fourth proportional to 12,841.92, 17,720.46 and 7,175.52 is: 9,901.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,841.92 : 17,720.46 = 7,175.52 : x
  2. Step 2: Convert to fraction form
    12,841.92/17,720.46 = 7,175.52/x
  3. Step 3: Cross multiply
    12,841.92x = 17,720.46 × 7,175.52
  4. Step 4: Simplify right side
    12,841.92x = 127,153,515.14
  5. Step 5: Solve for x
    x = 127,153,515.14/12,841.92
  6. Step 6: Final answer
    x = 9,901.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.