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Finding the Fourth Proportional to 12,713.69, 17,543.27 and 7,048.38

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Solution

The fourth proportional to 12,713.69, 17,543.27 and 7,048.38 is: 9,725.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,713.69 : 17,543.27 = 7,048.38 : x
  2. Step 2: Convert to fraction form
    12,713.69/17,543.27 = 7,048.38/x
  3. Step 3: Cross multiply
    12,713.69x = 17,543.27 × 7,048.38
  4. Step 4: Simplify right side
    12,713.69x = 123,651,677.16
  5. Step 5: Solve for x
    x = 123,651,677.16/12,713.69
  6. Step 6: Final answer
    x = 9,725.87

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Why These Related Problems?

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