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Finding the Fourth Proportional to 17,524.94, 24,184.01 and 9,567.29

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Solution

The fourth proportional to 17,524.94, 24,184.01 and 9,567.29 is: 13,202.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,524.94 : 24,184.01 = 9,567.29 : x
  2. Step 2: Convert to fraction form
    17,524.94/24,184.01 = 9,567.29/x
  3. Step 3: Cross multiply
    17,524.94x = 24,184.01 × 9,567.29
  4. Step 4: Simplify right side
    17,524.94x = 231,375,521.41
  5. Step 5: Solve for x
    x = 231,375,521.41/17,524.94
  6. Step 6: Final answer
    x = 13,202.65

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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.