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Finding the Fourth Proportional to 15,818.92, 21,827.78 and 9,013

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Solution

The fourth proportional to 15,818.92, 21,827.78 and 9,013 is: 12,436.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,818.92 : 21,827.78 = 9,013 : x
  2. Step 2: Convert to fraction form
    15,818.92/21,827.78 = 9,013/x
  3. Step 3: Cross multiply
    15,818.92x = 21,827.78 × 9,013
  4. Step 4: Simplify right side
    15,818.92x = 196,733,781.14
  5. Step 5: Solve for x
    x = 196,733,781.14/15,818.92
  6. Step 6: Final answer
    x = 12,436.61

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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.