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Finding the Fourth Proportional to 24,057.32, 33,203.38 and 17,693.15

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Solution

The fourth proportional to 24,057.32, 33,203.38 and 17,693.15 is: 24,419.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,057.32 : 33,203.38 = 17,693.15 : x
  2. Step 2: Convert to fraction form
    24,057.32/33,203.38 = 17,693.15/x
  3. Step 3: Cross multiply
    24,057.32x = 33,203.38 × 17,693.15
  4. Step 4: Simplify right side
    24,057.32x = 587,472,382.85
  5. Step 5: Solve for x
    x = 587,472,382.85/24,057.32
  6. Step 6: Final answer
    x = 24,419.69

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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.