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Finding the Fourth Proportional to 12,711.71, 17,543.20 and 7,048.23

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Solution

The fourth proportional to 12,711.71, 17,543.20 and 7,048.23 is: 9,727.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,711.71 : 17,543.20 = 7,048.23 : x
  2. Step 2: Convert to fraction form
    12,711.71/17,543.20 = 7,048.23/x
  3. Step 3: Cross multiply
    12,711.71x = 17,543.20 × 7,048.23
  4. Step 4: Simplify right side
    12,711.71x = 123,648,508.54
  5. Step 5: Solve for x
    x = 123,648,508.54/12,711.71
  6. Step 6: Final answer
    x = 9,727.13

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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.