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Finding the Fourth Proportional to 17,584.88, 24,267.14 and 9,627.62

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Solution

The fourth proportional to 17,584.88, 24,267.14 and 9,627.62 is: 13,286.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,584.88 : 24,267.14 = 9,627.62 : x
  2. Step 2: Convert to fraction form
    17,584.88/24,267.14 = 9,627.62/x
  3. Step 3: Cross multiply
    17,584.88x = 24,267.14 × 9,627.62
  4. Step 4: Simplify right side
    17,584.88x = 233,634,632.93
  5. Step 5: Solve for x
    x = 233,634,632.93/17,584.88
  6. Step 6: Final answer
    x = 13,286.11

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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.