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Finding the Fourth Proportional to 22,783.94, 34,176.12 and 7,993.20

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Solution

The fourth proportional to 22,783.94, 34,176.12 and 7,993.20 is: 11,989.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,783.94 : 34,176.12 = 7,993.20 : x
  2. Step 2: Convert to fraction form
    22,783.94/34,176.12 = 7,993.20/x
  3. Step 3: Cross multiply
    22,783.94x = 34,176.12 × 7,993.20
  4. Step 4: Simplify right side
    22,783.94x = 273,176,562.38
  5. Step 5: Solve for x
    x = 273,176,562.38/22,783.94
  6. Step 6: Final answer
    x = 11,989.87

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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.