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Finding the Fourth Proportional to 27,680.62, 38,202.06 and 16,353.78

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Solution

The fourth proportional to 27,680.62, 38,202.06 and 16,353.78 is: 22,569.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,680.62 : 38,202.06 = 16,353.78 : x
  2. Step 2: Convert to fraction form
    27,680.62/38,202.06 = 16,353.78/x
  3. Step 3: Cross multiply
    27,680.62x = 38,202.06 × 16,353.78
  4. Step 4: Simplify right side
    27,680.62x = 624,748,084.79
  5. Step 5: Solve for x
    x = 624,748,084.79/27,680.62
  6. Step 6: Final answer
    x = 22,569.87

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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.