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Finding the Fourth Proportional to 17,726.76, 24,463.09 and 9,769.27

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Solution

The fourth proportional to 17,726.76, 24,463.09 and 9,769.27 is: 13,481.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,726.76 : 24,463.09 = 9,769.27 : x
  2. Step 2: Convert to fraction form
    17,726.76/24,463.09 = 9,769.27/x
  3. Step 3: Cross multiply
    17,726.76x = 24,463.09 × 9,769.27
  4. Step 4: Simplify right side
    17,726.76x = 238,986,531.24
  5. Step 5: Solve for x
    x = 238,986,531.24/17,726.76
  6. Step 6: Final answer
    x = 13,481.68

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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.