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Finding the Fourth Proportional to 12,013.50, 18,020.24 and 6,680.08

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Solution

The fourth proportional to 12,013.50, 18,020.24 and 6,680.08 is: 10,020.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,013.50 : 18,020.24 = 6,680.08 : x
  2. Step 2: Convert to fraction form
    12,013.50/18,020.24 = 6,680.08/x
  3. Step 3: Cross multiply
    12,013.50x = 18,020.24 × 6,680.08
  4. Step 4: Simplify right side
    12,013.50x = 120,376,644.82
  5. Step 5: Solve for x
    x = 120,376,644.82/12,013.50
  6. Step 6: Final answer
    x = 10,020.11

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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.