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Finding the Fourth Proportional to 24,084.34, 36,112.84 and 10,920.42

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Solution

The fourth proportional to 24,084.34, 36,112.84 and 10,920.42 is: 16,374.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,084.34 : 36,112.84 = 10,920.42 : x
  2. Step 2: Convert to fraction form
    24,084.34/36,112.84 = 10,920.42/x
  3. Step 3: Cross multiply
    24,084.34x = 36,112.84 × 10,920.42
  4. Step 4: Simplify right side
    24,084.34x = 394,367,352.89
  5. Step 5: Solve for x
    x = 394,367,352.89/24,084.34
  6. Step 6: Final answer
    x = 16,374.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.