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Finding the Fourth Proportional to 24,402.57, 33,675.57 and 13,224.57

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Solution

The fourth proportional to 24,402.57, 33,675.57 and 13,224.57 is: 18,249.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,402.57 : 33,675.57 = 13,224.57 : x
  2. Step 2: Convert to fraction form
    24,402.57/33,675.57 = 13,224.57/x
  3. Step 3: Cross multiply
    24,402.57x = 33,675.57 × 13,224.57
  4. Step 4: Simplify right side
    24,402.57x = 445,344,932.75
  5. Step 5: Solve for x
    x = 445,344,932.75/24,402.57
  6. Step 6: Final answer
    x = 18,249.92

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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.