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Finding the Fourth Proportional to 12,726.98, 17,567.89 and 7,691.39

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Solution

The fourth proportional to 12,726.98, 17,567.89 and 7,691.39 is: 10,616.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,726.98 : 17,567.89 = 7,691.39 : x
  2. Step 2: Convert to fraction form
    12,726.98/17,567.89 = 7,691.39/x
  3. Step 3: Cross multiply
    12,726.98x = 17,567.89 × 7,691.39
  4. Step 4: Simplify right side
    12,726.98x = 135,121,386.40
  5. Step 5: Solve for x
    x = 135,121,386.40/12,726.98
  6. Step 6: Final answer
    x = 10,616.93

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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.