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Finding the Fourth Proportional to 24,411.12, 33,687.24 and 13,233.12

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Solution

The fourth proportional to 24,411.12, 33,687.24 and 13,233.12 is: 18,261.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,411.12 : 33,687.24 = 13,233.12 : x
  2. Step 2: Convert to fraction form
    24,411.12/33,687.24 = 13,233.12/x
  3. Step 3: Cross multiply
    24,411.12x = 33,687.24 × 13,233.12
  4. Step 4: Simplify right side
    24,411.12x = 445,787,289.39
  5. Step 5: Solve for x
    x = 445,787,289.39/24,411.12
  6. Step 6: Final answer
    x = 18,261.65

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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.