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Finding the Fourth Proportional to 20,217.76, 30,276 and 12,799.84

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Solution

The fourth proportional to 20,217.76, 30,276 and 12,799.84 is: 19,167.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,217.76 : 30,276 = 12,799.84 : x
  2. Step 2: Convert to fraction form
    20,217.76/30,276 = 12,799.84/x
  3. Step 3: Cross multiply
    20,217.76x = 30,276 × 12,799.84
  4. Step 4: Simplify right side
    20,217.76x = 387,527,955.84
  5. Step 5: Solve for x
    x = 387,527,955.84/20,217.76
  6. Step 6: Final answer
    x = 19,167.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.