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Finding the Fourth Proportional to 12,449.40, 17,179.20 and 7,732.80

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Solution

The fourth proportional to 12,449.40, 17,179.20 and 7,732.80 is: 10,670.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,449.40 : 17,179.20 = 7,732.80 : x
  2. Step 2: Convert to fraction form
    12,449.40/17,179.20 = 7,732.80/x
  3. Step 3: Cross multiply
    12,449.40x = 17,179.20 × 7,732.80
  4. Step 4: Simplify right side
    12,449.40x = 132,843,317.76
  5. Step 5: Solve for x
    x = 132,843,317.76/12,449.40
  6. Step 6: Final answer
    x = 10,670.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.