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Finding the Fourth Proportional to 22,062.14, 33,096.86 and 8,731.16

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Solution

The fourth proportional to 22,062.14, 33,096.86 and 8,731.16 is: 13,098.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,062.14 : 33,096.86 = 8,731.16 : x
  2. Step 2: Convert to fraction form
    22,062.14/33,096.86 = 8,731.16/x
  3. Step 3: Cross multiply
    22,062.14x = 33,096.86 × 8,731.16
  4. Step 4: Simplify right side
    22,062.14x = 288,973,936.50
  5. Step 5: Solve for x
    x = 288,973,936.50/22,062.14
  6. Step 6: Final answer
    x = 13,098.18

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Why These Related Problems?

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