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Finding the Fourth Proportional to 24,578.57, 33,919.23 and 13,825.31

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Solution

The fourth proportional to 24,578.57, 33,919.23 and 13,825.31 is: 19,079.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,578.57 : 33,919.23 = 13,825.31 : x
  2. Step 2: Convert to fraction form
    24,578.57/33,919.23 = 13,825.31/x
  3. Step 3: Cross multiply
    24,578.57x = 33,919.23 × 13,825.31
  4. Step 4: Simplify right side
    24,578.57x = 468,943,869.71
  5. Step 5: Solve for x
    x = 468,943,869.71/24,578.57
  6. Step 6: Final answer
    x = 19,079.38

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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.