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Finding the Fourth Proportional to 24,310.50, 33,548.49 and 13,132.50

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Solution

The fourth proportional to 24,310.50, 33,548.49 and 13,132.50 is: 18,122.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,310.50 : 33,548.49 = 13,132.50 : x
  2. Step 2: Convert to fraction form
    24,310.50/33,548.49 = 13,132.50/x
  3. Step 3: Cross multiply
    24,310.50x = 33,548.49 × 13,132.50
  4. Step 4: Simplify right side
    24,310.50x = 440,575,544.93
  5. Step 5: Solve for x
    x = 440,575,544.93/24,310.50
  6. Step 6: Final answer
    x = 18,122.85

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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.