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Finding the Fourth Proportional to 22,451.86, 30,982.96 and 12,380.12

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Solution

The fourth proportional to 22,451.86, 30,982.96 and 12,380.12 is: 17,084.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,451.86 : 30,982.96 = 12,380.12 : x
  2. Step 2: Convert to fraction form
    22,451.86/30,982.96 = 12,380.12/x
  3. Step 3: Cross multiply
    22,451.86x = 30,982.96 × 12,380.12
  4. Step 4: Simplify right side
    22,451.86x = 383,572,762.76
  5. Step 5: Solve for x
    x = 383,572,762.76/22,451.86
  6. Step 6: Final answer
    x = 17,084.23

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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.