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Finding the Fourth Proportional to 12,841.83, 17,713.40 and 7,532.87

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Solution

The fourth proportional to 12,841.83, 17,713.40 and 7,532.87 is: 10,390.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,841.83 : 17,713.40 = 7,532.87 : x
  2. Step 2: Convert to fraction form
    12,841.83/17,713.40 = 7,532.87/x
  3. Step 3: Cross multiply
    12,841.83x = 17,713.40 × 7,532.87
  4. Step 4: Simplify right side
    12,841.83x = 133,432,613.23
  5. Step 5: Solve for x
    x = 133,432,613.23/12,841.83
  6. Step 6: Final answer
    x = 10,390.47

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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.