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Finding the Fourth Proportional to 24,603, 33,952.14 and 14,667

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Solution

The fourth proportional to 24,603, 33,952.14 and 14,667 is: 20,240.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,603 : 33,952.14 = 14,667 : x
  2. Step 2: Convert to fraction form
    24,603/33,952.14 = 14,667/x
  3. Step 3: Cross multiply
    24,603x = 33,952.14 × 14,667
  4. Step 4: Simplify right side
    24,603x = 497,976,037.38
  5. Step 5: Solve for x
    x = 497,976,037.38/24,603
  6. Step 6: Final answer
    x = 20,240.46

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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.