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Finding the Fourth Proportional to 22,830.66, 34,243.26 and 6,189.66

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Solution

The fourth proportional to 22,830.66, 34,243.26 and 6,189.66 is: 9,283.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,830.66 : 34,243.26 = 6,189.66 : x
  2. Step 2: Convert to fraction form
    22,830.66/34,243.26 = 6,189.66/x
  3. Step 3: Cross multiply
    22,830.66x = 34,243.26 × 6,189.66
  4. Step 4: Simplify right side
    22,830.66x = 211,954,136.69
  5. Step 5: Solve for x
    x = 211,954,136.69/22,830.66
  6. Step 6: Final answer
    x = 9,283.75

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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.