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Finding the Fourth Proportional to 17,667, 24,381.36 and 10,593.90

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Solution

The fourth proportional to 17,667, 24,381.36 and 10,593.90 is: 14,620.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,667 : 24,381.36 = 10,593.90 : x
  2. Step 2: Convert to fraction form
    17,667/24,381.36 = 10,593.90/x
  3. Step 3: Cross multiply
    17,667x = 24,381.36 × 10,593.90
  4. Step 4: Simplify right side
    17,667x = 258,293,689.70
  5. Step 5: Solve for x
    x = 258,293,689.70/17,667
  6. Step 6: Final answer
    x = 14,620.12

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1.5x scale

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.