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Finding the Fourth Proportional to 22,450.25, 30,980.10 and 12,376.97

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Solution

The fourth proportional to 22,450.25, 30,980.10 and 12,376.97 is: 17,079.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,450.25 : 30,980.10 = 12,376.97 : x
  2. Step 2: Convert to fraction form
    22,450.25/30,980.10 = 12,376.97/x
  3. Step 3: Cross multiply
    22,450.25x = 30,980.10 × 12,376.97
  4. Step 4: Simplify right side
    22,450.25x = 383,439,775.99
  5. Step 5: Solve for x
    x = 383,439,775.99/22,450.25
  6. Step 6: Final answer
    x = 17,079.53

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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.