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Finding the Fourth Proportional to 12,177, 18,266.40 and 8,910.72

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Solution

The fourth proportional to 12,177, 18,266.40 and 8,910.72 is: 13,366.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,177 : 18,266.40 = 8,910.72 : x
  2. Step 2: Convert to fraction form
    12,177/18,266.40 = 8,910.72/x
  3. Step 3: Cross multiply
    12,177x = 18,266.40 × 8,910.72
  4. Step 4: Simplify right side
    12,177x = 162,766,775.81
  5. Step 5: Solve for x
    x = 162,766,775.81/12,177
  6. Step 6: Final answer
    x = 13,366.74

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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.