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Finding the Fourth Proportional to 17,717.66, 24,451.48 and 9,759.88

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Solution

The fourth proportional to 17,717.66, 24,451.48 and 9,759.88 is: 13,469.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,717.66 : 24,451.48 = 9,759.88 : x
  2. Step 2: Convert to fraction form
    17,717.66/24,451.48 = 9,759.88/x
  3. Step 3: Cross multiply
    17,717.66x = 24,451.48 × 9,759.88
  4. Step 4: Simplify right side
    17,717.66x = 238,643,510.62
  5. Step 5: Solve for x
    x = 238,643,510.62/17,717.66
  6. Step 6: Final answer
    x = 13,469.25

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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.