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Finding the Fourth Proportional to 12,179.78, 18,269.36 and 3,858.66

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Solution

The fourth proportional to 12,179.78, 18,269.36 and 3,858.66 is: 5,787.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,179.78 : 18,269.36 = 3,858.66 : x
  2. Step 2: Convert to fraction form
    12,179.78/18,269.36 = 3,858.66/x
  3. Step 3: Cross multiply
    12,179.78x = 18,269.36 × 3,858.66
  4. Step 4: Simplify right side
    12,179.78x = 70,495,248.66
  5. Step 5: Solve for x
    x = 70,495,248.66/12,179.78
  6. Step 6: Final answer
    x = 5,787.89

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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.