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Finding the Fourth Proportional to 22,378.25, 30,881.36 and 12,306.68

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Solution

The fourth proportional to 22,378.25, 30,881.36 and 12,306.68 is: 16,982.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,378.25 : 30,881.36 = 12,306.68 : x
  2. Step 2: Convert to fraction form
    22,378.25/30,881.36 = 12,306.68/x
  3. Step 3: Cross multiply
    22,378.25x = 30,881.36 × 12,306.68
  4. Step 4: Simplify right side
    22,378.25x = 380,047,077.30
  5. Step 5: Solve for x
    x = 380,047,077.30/22,378.25
  6. Step 6: Final answer
    x = 16,982.88

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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.