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Finding the Fourth Proportional to 12,949.33, 17,869.38 and 7,642.21

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Solution

The fourth proportional to 12,949.33, 17,869.38 and 7,642.21 is: 10,545.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,949.33 : 17,869.38 = 7,642.21 : x
  2. Step 2: Convert to fraction form
    12,949.33/17,869.38 = 7,642.21/x
  3. Step 3: Cross multiply
    12,949.33x = 17,869.38 × 7,642.21
  4. Step 4: Simplify right side
    12,949.33x = 136,561,554.53
  5. Step 5: Solve for x
    x = 136,561,554.53/12,949.33
  6. Step 6: Final answer
    x = 10,545.84

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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.