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Finding the Fourth Proportional to 12,448.96, 18,671.76 and 5,057.44

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Solution

The fourth proportional to 12,448.96, 18,671.76 and 5,057.44 is: 7,585.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,448.96 : 18,671.76 = 5,057.44 : x
  2. Step 2: Convert to fraction form
    12,448.96/18,671.76 = 5,057.44/x
  3. Step 3: Cross multiply
    12,448.96x = 18,671.76 × 5,057.44
  4. Step 4: Simplify right side
    12,448.96x = 94,431,305.89
  5. Step 5: Solve for x
    x = 94,431,305.89/12,448.96
  6. Step 6: Final answer
    x = 7,585.48

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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.