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Finding the Fourth Proportional to 12,115.92, 16,720.08 and 7,400.20

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Solution

The fourth proportional to 12,115.92, 16,720.08 and 7,400.20 is: 10,212.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,115.92 : 16,720.08 = 7,400.20 : x
  2. Step 2: Convert to fraction form
    12,115.92/16,720.08 = 7,400.20/x
  3. Step 3: Cross multiply
    12,115.92x = 16,720.08 × 7,400.20
  4. Step 4: Simplify right side
    12,115.92x = 123,731,936.02
  5. Step 5: Solve for x
    x = 123,731,936.02/12,115.92
  6. Step 6: Final answer
    x = 10,212.34

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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.