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Finding the Fourth Proportional to 22,994.16, 34,494.57 and 8,201.76

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Solution

The fourth proportional to 22,994.16, 34,494.57 and 8,201.76 is: 12,303.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,994.16 : 34,494.57 = 8,201.76 : x
  2. Step 2: Convert to fraction form
    22,994.16/34,494.57 = 8,201.76/x
  3. Step 3: Cross multiply
    22,994.16x = 34,494.57 × 8,201.76
  4. Step 4: Simplify right side
    22,994.16x = 282,916,184.44
  5. Step 5: Solve for x
    x = 282,916,184.44/22,994.16
  6. Step 6: Final answer
    x = 12,303.83

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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.