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Finding the Fourth Proportional to 17,584.92, 24,267.14 and 9,627.08

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Solution

The fourth proportional to 17,584.92, 24,267.14 and 9,627.08 is: 13,285.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,584.92 : 24,267.14 = 9,627.08 : x
  2. Step 2: Convert to fraction form
    17,584.92/24,267.14 = 9,627.08/x
  3. Step 3: Cross multiply
    17,584.92x = 24,267.14 × 9,627.08
  4. Step 4: Simplify right side
    17,584.92x = 233,621,528.68
  5. Step 5: Solve for x
    x = 233,621,528.68/17,584.92
  6. Step 6: Final answer
    x = 13,285.33

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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.