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Finding the Fourth Proportional to 12,761.40, 19,144.14 and 4,443.78

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Solution

The fourth proportional to 12,761.40, 19,144.14 and 4,443.78 is: 6,666.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,761.40 : 19,144.14 = 4,443.78 : x
  2. Step 2: Convert to fraction form
    12,761.40/19,144.14 = 4,443.78/x
  3. Step 3: Cross multiply
    12,761.40x = 19,144.14 × 4,443.78
  4. Step 4: Simplify right side
    12,761.40x = 85,072,346.45
  5. Step 5: Solve for x
    x = 85,072,346.45/12,761.40
  6. Step 6: Final answer
    x = 6,666.38

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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.