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Finding the Fourth Proportional to 17,617.60, 24,311.64 and 9,659.65

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Solution

The fourth proportional to 17,617.60, 24,311.64 and 9,659.65 is: 13,329.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,617.60 : 24,311.64 = 9,659.65 : x
  2. Step 2: Convert to fraction form
    17,617.60/24,311.64 = 9,659.65/x
  3. Step 3: Cross multiply
    17,617.60x = 24,311.64 × 9,659.65
  4. Step 4: Simplify right side
    17,617.60x = 234,841,933.33
  5. Step 5: Solve for x
    x = 234,841,933.33/17,617.60
  6. Step 6: Final answer
    x = 13,329.96

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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.