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Finding the Fourth Proportional to 22,709.21, 34,067.88 and 9,382.20

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Solution

The fourth proportional to 22,709.21, 34,067.88 and 9,382.20 is: 14,074.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,709.21 : 34,067.88 = 9,382.20 : x
  2. Step 2: Convert to fraction form
    22,709.21/34,067.88 = 9,382.20/x
  3. Step 3: Cross multiply
    22,709.21x = 34,067.88 × 9,382.20
  4. Step 4: Simplify right side
    22,709.21x = 319,631,663.74
  5. Step 5: Solve for x
    x = 319,631,663.74/22,709.21
  6. Step 6: Final answer
    x = 14,074.98

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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.