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Finding the Fourth Proportional to 22,785.42, 34,178.38 and 7,994.70

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Solution

The fourth proportional to 22,785.42, 34,178.38 and 7,994.70 is: 11,992.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,785.42 : 34,178.38 = 7,994.70 : x
  2. Step 2: Convert to fraction form
    22,785.42/34,178.38 = 7,994.70/x
  3. Step 3: Cross multiply
    22,785.42x = 34,178.38 × 7,994.70
  4. Step 4: Simplify right side
    22,785.42x = 273,245,894.59
  5. Step 5: Solve for x
    x = 273,245,894.59/22,785.42
  6. Step 6: Final answer
    x = 11,992.14

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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.