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Finding the Fourth Proportional to 17,726.99, 24,462.07 and 9,769.21

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Solution

The fourth proportional to 17,726.99, 24,462.07 and 9,769.21 is: 13,480.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,726.99 : 24,462.07 = 9,769.21 : x
  2. Step 2: Convert to fraction form
    17,726.99/24,462.07 = 9,769.21/x
  3. Step 3: Cross multiply
    17,726.99x = 24,462.07 × 9,769.21
  4. Step 4: Simplify right side
    17,726.99x = 238,975,049.92
  5. Step 5: Solve for x
    x = 238,975,049.92/17,726.99
  6. Step 6: Final answer
    x = 13,480.86

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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.