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Finding the Fourth Proportional to 12,500.38, 18,751.38 and 4,180.06

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Solution

The fourth proportional to 12,500.38, 18,751.38 and 4,180.06 is: 6,270.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,500.38 : 18,751.38 = 4,180.06 : x
  2. Step 2: Convert to fraction form
    12,500.38/18,751.38 = 4,180.06/x
  3. Step 3: Cross multiply
    12,500.38x = 18,751.38 × 4,180.06
  4. Step 4: Simplify right side
    12,500.38x = 78,381,893.48
  5. Step 5: Solve for x
    x = 78,381,893.48/12,500.38
  6. Step 6: Final answer
    x = 6,270.36

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