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Finding the Fourth Proportional to 22,314.50, 30,794.01 and 12,380.42

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Solution

The fourth proportional to 22,314.50, 30,794.01 and 12,380.42 is: 17,084.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,314.50 : 30,794.01 = 12,380.42 : x
  2. Step 2: Convert to fraction form
    22,314.50/30,794.01 = 12,380.42/x
  3. Step 3: Cross multiply
    22,314.50x = 30,794.01 × 12,380.42
  4. Step 4: Simplify right side
    22,314.50x = 381,242,777.28
  5. Step 5: Solve for x
    x = 381,242,777.28/22,314.50
  6. Step 6: Final answer
    x = 17,084.98

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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.