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Finding the Fourth Proportional to 12,427.66, 18,638.79 and 4,105.70

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Solution

The fourth proportional to 12,427.66, 18,638.79 and 4,105.70 is: 6,157.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,427.66 : 18,638.79 = 4,105.70 : x
  2. Step 2: Convert to fraction form
    12,427.66/18,638.79 = 4,105.70/x
  3. Step 3: Cross multiply
    12,427.66x = 18,638.79 × 4,105.70
  4. Step 4: Simplify right side
    12,427.66x = 76,525,280.10
  5. Step 5: Solve for x
    x = 76,525,280.10/12,427.66
  6. Step 6: Final answer
    x = 6,157.66

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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.