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Finding the Fourth Proportional to 22,729.32, 34,103.16 and 12,199.32

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Solution

The fourth proportional to 22,729.32, 34,103.16 and 12,199.32 is: 18,303.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,729.32 : 34,103.16 = 12,199.32 : x
  2. Step 2: Convert to fraction form
    22,729.32/34,103.16 = 12,199.32/x
  3. Step 3: Cross multiply
    22,729.32x = 34,103.16 × 12,199.32
  4. Step 4: Simplify right side
    22,729.32x = 416,035,361.85
  5. Step 5: Solve for x
    x = 416,035,361.85/22,729.32
  6. Step 6: Final answer
    x = 18,303.91

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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.