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Finding the Fourth Proportional to 16,121.64, 24,171.84 and 7,785.12

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Solution

The fourth proportional to 16,121.64, 24,171.84 and 7,785.12 is: 11,672.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,121.64 : 24,171.84 = 7,785.12 : x
  2. Step 2: Convert to fraction form
    16,121.64/24,171.84 = 7,785.12/x
  3. Step 3: Cross multiply
    16,121.64x = 24,171.84 × 7,785.12
  4. Step 4: Simplify right side
    16,121.64x = 188,180,675.02
  5. Step 5: Solve for x
    x = 188,180,675.02/16,121.64
  6. Step 6: Final answer
    x = 11,672.55

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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.