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Finding the Fourth Proportional to 12,331.34, 17,013.23 and 7,546.29

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Solution

The fourth proportional to 12,331.34, 17,013.23 and 7,546.29 is: 10,411.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,331.34 : 17,013.23 = 7,546.29 : x
  2. Step 2: Convert to fraction form
    12,331.34/17,013.23 = 7,546.29/x
  3. Step 3: Cross multiply
    12,331.34x = 17,013.23 × 7,546.29
  4. Step 4: Simplify right side
    12,331.34x = 128,386,644.62
  5. Step 5: Solve for x
    x = 128,386,644.62/12,331.34
  6. Step 6: Final answer
    x = 10,411.41

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