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Finding the Fourth Proportional to 22,122.91, 33,183.75 and 9,642.92

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Solution

The fourth proportional to 22,122.91, 33,183.75 and 9,642.92 is: 14,464.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,122.91 : 33,183.75 = 9,642.92 : x
  2. Step 2: Convert to fraction form
    22,122.91/33,183.75 = 9,642.92/x
  3. Step 3: Cross multiply
    22,122.91x = 33,183.75 × 9,642.92
  4. Step 4: Simplify right side
    22,122.91x = 319,988,246.55
  5. Step 5: Solve for x
    x = 319,988,246.55/22,122.91
  6. Step 6: Final answer
    x = 14,464.12

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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.