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Finding the Fourth Proportional to 12,348.06, 17,040.06 and 7,042.38

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Solution

The fourth proportional to 12,348.06, 17,040.06 and 7,042.38 is: 9,718.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,348.06 : 17,040.06 = 7,042.38 : x
  2. Step 2: Convert to fraction form
    12,348.06/17,040.06 = 7,042.38/x
  3. Step 3: Cross multiply
    12,348.06x = 17,040.06 × 7,042.38
  4. Step 4: Simplify right side
    12,348.06x = 120,002,577.74
  5. Step 5: Solve for x
    x = 120,002,577.74/12,348.06
  6. Step 6: Final answer
    x = 9,718.33

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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.