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Finding the Fourth Proportional to 17,644.65, 24,349.86 and 9,687.48

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Solution

The fourth proportional to 17,644.65, 24,349.86 and 9,687.48 is: 13,368.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,644.65 : 24,349.86 = 9,687.48 : x
  2. Step 2: Convert to fraction form
    17,644.65/24,349.86 = 9,687.48/x
  3. Step 3: Cross multiply
    17,644.65x = 24,349.86 × 9,687.48
  4. Step 4: Simplify right side
    17,644.65x = 235,888,781.75
  5. Step 5: Solve for x
    x = 235,888,781.75/17,644.65
  6. Step 6: Final answer
    x = 13,368.86

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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.