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Finding the Fourth Proportional to 12,381.72, 17,084.01 and 7,343.38

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Solution

The fourth proportional to 12,381.72, 17,084.01 and 7,343.38 is: 10,132.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,381.72 : 17,084.01 = 7,343.38 : x
  2. Step 2: Convert to fraction form
    12,381.72/17,084.01 = 7,343.38/x
  3. Step 3: Cross multiply
    12,381.72x = 17,084.01 × 7,343.38
  4. Step 4: Simplify right side
    12,381.72x = 125,454,377.35
  5. Step 5: Solve for x
    x = 125,454,377.35/12,381.72
  6. Step 6: Final answer
    x = 10,132.23

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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.