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Finding the Fourth Proportional to 22,451.94, 30,982.25 and 12,380.45

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Solution

The fourth proportional to 22,451.94, 30,982.25 and 12,380.45 is: 17,084.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,451.94 : 30,982.25 = 12,380.45 : x
  2. Step 2: Convert to fraction form
    22,451.94/30,982.25 = 12,380.45/x
  3. Step 3: Cross multiply
    22,451.94x = 30,982.25 × 12,380.45
  4. Step 4: Simplify right side
    22,451.94x = 383,573,980.20
  5. Step 5: Solve for x
    x = 383,573,980.20/22,451.94
  6. Step 6: Final answer
    x = 17,084.22

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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.