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Finding the Fourth Proportional to 22,364.97, 30,864 and 12,293.83

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Solution

The fourth proportional to 22,364.97, 30,864 and 12,293.83 is: 16,965.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,364.97 : 30,864 = 12,293.83 : x
  2. Step 2: Convert to fraction form
    22,364.97/30,864 = 12,293.83/x
  3. Step 3: Cross multiply
    22,364.97x = 30,864 × 12,293.83
  4. Step 4: Simplify right side
    22,364.97x = 379,436,769.12
  5. Step 5: Solve for x
    x = 379,436,769.12/22,364.97
  6. Step 6: Final answer
    x = 16,965.67

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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.