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Finding the Fourth Proportional to 17,726.74, 24,462.82 and 9,660.38

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Solution

The fourth proportional to 17,726.74, 24,462.82 and 9,660.38 is: 13,331.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,726.74 : 24,462.82 = 9,660.38 : x
  2. Step 2: Convert to fraction form
    17,726.74/24,462.82 = 9,660.38/x
  3. Step 3: Cross multiply
    17,726.74x = 24,462.82 × 9,660.38
  4. Step 4: Simplify right side
    17,726.74x = 236,320,137.07
  5. Step 5: Solve for x
    x = 236,320,137.07/17,726.74
  6. Step 6: Final answer
    x = 13,331.28

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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.