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Finding the Fourth Proportional to 12,177.84, 18,267.30 and 3,858.47

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Solution

The fourth proportional to 12,177.84, 18,267.30 and 3,858.47 is: 5,787.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,177.84 : 18,267.30 = 3,858.47 : x
  2. Step 2: Convert to fraction form
    12,177.84/18,267.30 = 3,858.47/x
  3. Step 3: Cross multiply
    12,177.84x = 18,267.30 × 3,858.47
  4. Step 4: Simplify right side
    12,177.84x = 70,483,872.41
  5. Step 5: Solve for x
    x = 70,483,872.41/12,177.84
  6. Step 6: Final answer
    x = 5,787.88

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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.