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Finding the Fourth Proportional to 12,132.63, 16,735.73 and 7,408.71

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Solution

The fourth proportional to 12,132.63, 16,735.73 and 7,408.71 is: 10,219.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,132.63 : 16,735.73 = 7,408.71 : x
  2. Step 2: Convert to fraction form
    12,132.63/16,735.73 = 7,408.71/x
  3. Step 3: Cross multiply
    12,132.63x = 16,735.73 × 7,408.71
  4. Step 4: Simplify right side
    12,132.63x = 123,990,133.16
  5. Step 5: Solve for x
    x = 123,990,133.16/12,132.63
  6. Step 6: Final answer
    x = 10,219.56

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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.