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Finding the Fourth Proportional to 12,176.97, 18,266.15 and 3,412.58

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Solution

The fourth proportional to 12,176.97, 18,266.15 and 3,412.58 is: 5,119.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,176.97 : 18,266.15 = 3,412.58 : x
  2. Step 2: Convert to fraction form
    12,176.97/18,266.15 = 3,412.58/x
  3. Step 3: Cross multiply
    12,176.97x = 18,266.15 × 3,412.58
  4. Step 4: Simplify right side
    12,176.97x = 62,334,589.77
  5. Step 5: Solve for x
    x = 62,334,589.77/12,176.97
  6. Step 6: Final answer
    x = 5,119.06

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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.