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Finding the Fourth Proportional to 24,344, 33,594.76 and 13,442.14

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Solution

The fourth proportional to 24,344, 33,594.76 and 13,442.14 is: 18,550.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,344 : 33,594.76 = 13,442.14 : x
  2. Step 2: Convert to fraction form
    24,344/33,594.76 = 13,442.14/x
  3. Step 3: Cross multiply
    24,344x = 33,594.76 × 13,442.14
  4. Step 4: Simplify right side
    24,344x = 451,585,467.19
  5. Step 5: Solve for x
    x = 451,585,467.19/24,344
  6. Step 6: Final answer
    x = 18,550.18

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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.