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Finding the Fourth Proportional to 12,691.40, 17,513.75 and 7,026.38

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Solution

The fourth proportional to 12,691.40, 17,513.75 and 7,026.38 is: 9,696.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,691.40 : 17,513.75 = 7,026.38 : x
  2. Step 2: Convert to fraction form
    12,691.40/17,513.75 = 7,026.38/x
  3. Step 3: Cross multiply
    12,691.40x = 17,513.75 × 7,026.38
  4. Step 4: Simplify right side
    12,691.40x = 123,058,140.02
  5. Step 5: Solve for x
    x = 123,058,140.02/12,691.40
  6. Step 6: Final answer
    x = 9,696.19

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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.