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Finding the Fourth Proportional to 22,150.38, 33,206.86 and 9,661.24

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Solution

The fourth proportional to 22,150.38, 33,206.86 and 9,661.24 is: 14,483.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,150.38 : 33,206.86 = 9,661.24 : x
  2. Step 2: Convert to fraction form
    22,150.38/33,206.86 = 9,661.24/x
  3. Step 3: Cross multiply
    22,150.38x = 33,206.86 × 9,661.24
  4. Step 4: Simplify right side
    22,150.38x = 320,819,444.11
  5. Step 5: Solve for x
    x = 320,819,444.11/22,150.38
  6. Step 6: Final answer
    x = 14,483.70

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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.