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Finding the Fourth Proportional to 15,744, 21,726.75 and 8,671.08

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Solution

The fourth proportional to 15,744, 21,726.75 and 8,671.08 is: 11,966.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,744 : 21,726.75 = 8,671.08 : x
  2. Step 2: Convert to fraction form
    15,744/21,726.75 = 8,671.08/x
  3. Step 3: Cross multiply
    15,744x = 21,726.75 × 8,671.08
  4. Step 4: Simplify right side
    15,744x = 188,394,387.39
  5. Step 5: Solve for x
    x = 188,394,387.39/15,744
  6. Step 6: Final answer
    x = 11,966.11

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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.