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Finding the Fourth Proportional to 12,471.96, 18,718.86 and 5,076.38

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Solution

The fourth proportional to 12,471.96, 18,718.86 and 5,076.38 is: 7,619.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,471.96 : 18,718.86 = 5,076.38 : x
  2. Step 2: Convert to fraction form
    12,471.96/18,718.86 = 5,076.38/x
  3. Step 3: Cross multiply
    12,471.96x = 18,718.86 × 5,076.38
  4. Step 4: Simplify right side
    12,471.96x = 95,024,046.53
  5. Step 5: Solve for x
    x = 95,024,046.53/12,471.96
  6. Step 6: Final answer
    x = 7,619.01

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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.