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Finding the Fourth Proportional to 22,049.46, 33,067.71 and 6,465.06

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Solution

The fourth proportional to 22,049.46, 33,067.71 and 6,465.06 is: 9,695.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,049.46 : 33,067.71 = 6,465.06 : x
  2. Step 2: Convert to fraction form
    22,049.46/33,067.71 = 6,465.06/x
  3. Step 3: Cross multiply
    22,049.46x = 33,067.71 × 6,465.06
  4. Step 4: Simplify right side
    22,049.46x = 213,784,729.21
  5. Step 5: Solve for x
    x = 213,784,729.21/22,049.46
  6. Step 6: Final answer
    x = 9,695.69

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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.