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Finding the Fourth Proportional to 12,944.54, 19,416.78 and 5,151.50

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Solution

The fourth proportional to 12,944.54, 19,416.78 and 5,151.50 is: 7,727.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,944.54 : 19,416.78 = 5,151.50 : x
  2. Step 2: Convert to fraction form
    12,944.54/19,416.78 = 5,151.50/x
  3. Step 3: Cross multiply
    12,944.54x = 19,416.78 × 5,151.50
  4. Step 4: Simplify right side
    12,944.54x = 100,025,542.17
  5. Step 5: Solve for x
    x = 100,025,542.17/12,944.54
  6. Step 6: Final answer
    x = 7,727.24

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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.