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Finding the Fourth Proportional to 12,326.38, 17,013.46 and 7,024.34

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Solution

The fourth proportional to 12,326.38, 17,013.46 and 7,024.34 is: 9,695.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,326.38 : 17,013.46 = 7,024.34 : x
  2. Step 2: Convert to fraction form
    12,326.38/17,013.46 = 7,024.34/x
  3. Step 3: Cross multiply
    12,326.38x = 17,013.46 × 7,024.34
  4. Step 4: Simplify right side
    12,326.38x = 119,508,327.62
  5. Step 5: Solve for x
    x = 119,508,327.62/12,326.38
  6. Step 6: Final answer
    x = 9,695.33

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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.