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Finding the Fourth Proportional to 12,179.67, 18,232.50 and 7,800.20

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Solution

The fourth proportional to 12,179.67, 18,232.50 and 7,800.20 is: 11,676.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,179.67 : 18,232.50 = 7,800.20 : x
  2. Step 2: Convert to fraction form
    12,179.67/18,232.50 = 7,800.20/x
  3. Step 3: Cross multiply
    12,179.67x = 18,232.50 × 7,800.20
  4. Step 4: Simplify right side
    12,179.67x = 142,217,146.50
  5. Step 5: Solve for x
    x = 142,217,146.50/12,179.67
  6. Step 6: Final answer
    x = 11,676.60

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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.