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Finding the Fourth Proportional to 12,694.20, 18,967.80 and 9,167.48

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Solution

The fourth proportional to 12,694.20, 18,967.80 and 9,167.48 is: 13,698.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,694.20 : 18,967.80 = 9,167.48 : x
  2. Step 2: Convert to fraction form
    12,694.20/18,967.80 = 9,167.48/x
  3. Step 3: Cross multiply
    12,694.20x = 18,967.80 × 9,167.48
  4. Step 4: Simplify right side
    12,694.20x = 173,886,927.14
  5. Step 5: Solve for x
    x = 173,886,927.14/12,694.20
  6. Step 6: Final answer
    x = 13,698.14

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.