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Finding the Fourth Proportional to 24,203.54, 33,399.24 and 13,594.16

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Solution

The fourth proportional to 24,203.54, 33,399.24 and 13,594.16 is: 18,759.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,203.54 : 33,399.24 = 13,594.16 : x
  2. Step 2: Convert to fraction form
    24,203.54/33,399.24 = 13,594.16/x
  3. Step 3: Cross multiply
    24,203.54x = 33,399.24 × 13,594.16
  4. Step 4: Simplify right side
    24,203.54x = 454,034,612.44
  5. Step 5: Solve for x
    x = 454,034,612.44/24,203.54
  6. Step 6: Final answer
    x = 18,759.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.