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Finding the Fourth Proportional to 24,339.24, 33,585.30 and 13,728.24

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Solution

The fourth proportional to 24,339.24, 33,585.30 and 13,728.24 is: 18,943.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,339.24 : 33,585.30 = 13,728.24 : x
  2. Step 2: Convert to fraction form
    24,339.24/33,585.30 = 13,728.24/x
  3. Step 3: Cross multiply
    24,339.24x = 33,585.30 × 13,728.24
  4. Step 4: Simplify right side
    24,339.24x = 461,067,058.87
  5. Step 5: Solve for x
    x = 461,067,058.87/24,339.24
  6. Step 6: Final answer
    x = 18,943.36

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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.