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Finding the Fourth Proportional to 22,378.06, 30,881.07 and 12,306.49

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Solution

The fourth proportional to 22,378.06, 30,881.07 and 12,306.49 is: 16,982.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,378.06 : 30,881.07 = 12,306.49 : x
  2. Step 2: Convert to fraction form
    22,378.06/30,881.07 = 12,306.49/x
  3. Step 3: Cross multiply
    22,378.06x = 30,881.07 × 12,306.49
  4. Step 4: Simplify right side
    22,378.06x = 380,037,579.14
  5. Step 5: Solve for x
    x = 380,037,579.14/22,378.06
  6. Step 6: Final answer
    x = 16,982.60

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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.