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Finding the Fourth Proportional to 21,241.38, 29,314.17 and 11,809.74

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Solution

The fourth proportional to 21,241.38, 29,314.17 and 11,809.74 is: 16,298.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,241.38 : 29,314.17 = 11,809.74 : x
  2. Step 2: Convert to fraction form
    21,241.38/29,314.17 = 11,809.74/x
  3. Step 3: Cross multiply
    21,241.38x = 29,314.17 × 11,809.74
  4. Step 4: Simplify right side
    21,241.38x = 346,192,726.02
  5. Step 5: Solve for x
    x = 346,192,726.02/21,241.38
  6. Step 6: Final answer
    x = 16,298.03

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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.