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Finding the Fourth Proportional to 22,230.79, 33,346.21 and 9,083.16

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Solution

The fourth proportional to 22,230.79, 33,346.21 and 9,083.16 is: 13,624.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,230.79 : 33,346.21 = 9,083.16 : x
  2. Step 2: Convert to fraction form
    22,230.79/33,346.21 = 9,083.16/x
  3. Step 3: Cross multiply
    22,230.79x = 33,346.21 × 9,083.16
  4. Step 4: Simplify right side
    22,230.79x = 302,888,960.82
  5. Step 5: Solve for x
    x = 302,888,960.82/22,230.79
  6. Step 6: Final answer
    x = 13,624.75

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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.