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Finding the Fourth Proportional to 21,291.38, 29,382.09 and 12,344.08

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Solution

The fourth proportional to 21,291.38, 29,382.09 and 12,344.08 is: 17,034.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,291.38 : 29,382.09 = 12,344.08 : x
  2. Step 2: Convert to fraction form
    21,291.38/29,382.09 = 12,344.08/x
  3. Step 3: Cross multiply
    21,291.38x = 29,382.09 × 12,344.08
  4. Step 4: Simplify right side
    21,291.38x = 362,694,869.53
  5. Step 5: Solve for x
    x = 362,694,869.53/21,291.38
  6. Step 6: Final answer
    x = 17,034.82

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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.