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Finding the Fourth Proportional to 22,605.68, 33,908.16 and 6,189.68

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Solution

The fourth proportional to 22,605.68, 33,908.16 and 6,189.68 is: 9,284.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,605.68 : 33,908.16 = 6,189.68 : x
  2. Step 2: Convert to fraction form
    22,605.68/33,908.16 = 6,189.68/x
  3. Step 3: Cross multiply
    22,605.68x = 33,908.16 × 6,189.68
  4. Step 4: Simplify right side
    22,605.68x = 209,880,659.79
  5. Step 5: Solve for x
    x = 209,880,659.79/22,605.68
  6. Step 6: Final answer
    x = 9,284.42

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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.