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Finding the Fourth Proportional to 12,132.56, 16,743.24 and 7,419.44

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Solution

The fourth proportional to 12,132.56, 16,743.24 and 7,419.44 is: 10,239.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,132.56 : 16,743.24 = 7,419.44 : x
  2. Step 2: Convert to fraction form
    12,132.56/16,743.24 = 7,419.44/x
  3. Step 3: Cross multiply
    12,132.56x = 16,743.24 × 7,419.44
  4. Step 4: Simplify right side
    12,132.56x = 124,225,464.59
  5. Step 5: Solve for x
    x = 124,225,464.59/12,132.56
  6. Step 6: Final answer
    x = 10,239.02

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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.