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Finding the Fourth Proportional to 17,478.25, 24,115.80 and 10,209.22

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Solution

The fourth proportional to 17,478.25, 24,115.80 and 10,209.22 is: 14,086.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,478.25 : 24,115.80 = 10,209.22 : x
  2. Step 2: Convert to fraction form
    17,478.25/24,115.80 = 10,209.22/x
  3. Step 3: Cross multiply
    17,478.25x = 24,115.80 × 10,209.22
  4. Step 4: Simplify right side
    17,478.25x = 246,203,507.68
  5. Step 5: Solve for x
    x = 246,203,507.68/17,478.25
  6. Step 6: Final answer
    x = 14,086.28

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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.