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Finding the Fourth Proportional to 22,451.60, 30,983.42 and 12,380.41

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Solution

The fourth proportional to 22,451.60, 30,983.42 and 12,380.41 is: 17,085.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,451.60 : 30,983.42 = 12,380.41 : x
  2. Step 2: Convert to fraction form
    22,451.60/30,983.42 = 12,380.41/x
  3. Step 3: Cross multiply
    22,451.60x = 30,983.42 × 12,380.41
  4. Step 4: Simplify right side
    22,451.60x = 383,587,442.80
  5. Step 5: Solve for x
    x = 383,587,442.80/22,451.60
  6. Step 6: Final answer
    x = 17,085.08

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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.