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Finding the Fourth Proportional to 24,616.54, 33,973.38 and 15,062.80

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Solution

The fourth proportional to 24,616.54, 33,973.38 and 15,062.80 is: 20,788.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,616.54 : 33,973.38 = 15,062.80 : x
  2. Step 2: Convert to fraction form
    24,616.54/33,973.38 = 15,062.80/x
  3. Step 3: Cross multiply
    24,616.54x = 33,973.38 × 15,062.80
  4. Step 4: Simplify right side
    24,616.54x = 511,734,228.26
  5. Step 5: Solve for x
    x = 511,734,228.26/24,616.54
  6. Step 6: Final answer
    x = 20,788.23

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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.