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Finding the Fourth Proportional to 12,461.50, 18,696.30 and 8,717.14

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Solution

The fourth proportional to 12,461.50, 18,696.30 and 8,717.14 is: 13,078.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,461.50 : 18,696.30 = 8,717.14 : x
  2. Step 2: Convert to fraction form
    12,461.50/18,696.30 = 8,717.14/x
  3. Step 3: Cross multiply
    12,461.50x = 18,696.30 × 8,717.14
  4. Step 4: Simplify right side
    12,461.50x = 162,978,264.58
  5. Step 5: Solve for x
    x = 162,978,264.58/12,461.50
  6. Step 6: Final answer
    x = 13,078.54

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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.