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Finding the Fourth Proportional to 22,238.24, 33,345.02 and 9,099.86

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Solution

The fourth proportional to 22,238.24, 33,345.02 and 9,099.86 is: 13,644.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,238.24 : 33,345.02 = 9,099.86 : x
  2. Step 2: Convert to fraction form
    22,238.24/33,345.02 = 9,099.86/x
  3. Step 3: Cross multiply
    22,238.24x = 33,345.02 × 9,099.86
  4. Step 4: Simplify right side
    22,238.24x = 303,435,013.70
  5. Step 5: Solve for x
    x = 303,435,013.70/22,238.24
  6. Step 6: Final answer
    x = 13,644.74

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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.