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Finding the Fourth Proportional to 17,761.68, 24,512.55 and 10,209.24

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Solution

The fourth proportional to 17,761.68, 24,512.55 and 10,209.24 is: 14,089.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,761.68 : 24,512.55 = 10,209.24 : x
  2. Step 2: Convert to fraction form
    17,761.68/24,512.55 = 10,209.24/x
  3. Step 3: Cross multiply
    17,761.68x = 24,512.55 × 10,209.24
  4. Step 4: Simplify right side
    17,761.68x = 250,254,505.96
  5. Step 5: Solve for x
    x = 250,254,505.96/17,761.68
  6. Step 6: Final answer
    x = 14,089.57

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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.