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Finding the Fourth Proportional to 12,165.80, 18,209.76 and 6,314.36

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Solution

The fourth proportional to 12,165.80, 18,209.76 and 6,314.36 is: 9,451.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,165.80 : 18,209.76 = 6,314.36 : x
  2. Step 2: Convert to fraction form
    12,165.80/18,209.76 = 6,314.36/x
  3. Step 3: Cross multiply
    12,165.80x = 18,209.76 × 6,314.36
  4. Step 4: Simplify right side
    12,165.80x = 114,982,980.15
  5. Step 5: Solve for x
    x = 114,982,980.15/12,165.80
  6. Step 6: Final answer
    x = 9,451.33

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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.