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Finding the Fourth Proportional to 12,460.50, 18,694.80 and 8,716.14

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Solution

The fourth proportional to 12,460.50, 18,694.80 and 8,716.14 is: 13,077.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,460.50 : 18,694.80 = 8,716.14 : x
  2. Step 2: Convert to fraction form
    12,460.50/18,694.80 = 8,716.14/x
  3. Step 3: Cross multiply
    12,460.50x = 18,694.80 × 8,716.14
  4. Step 4: Simplify right side
    12,460.50x = 162,946,494.07
  5. Step 5: Solve for x
    x = 162,946,494.07/12,460.50
  6. Step 6: Final answer
    x = 13,077.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.