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Finding the Fourth Proportional to 22,795.40, 34,189.68 and 7,211

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Solution

The fourth proportional to 22,795.40, 34,189.68 and 7,211 is: 10,815.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,795.40 : 34,189.68 = 7,211 : x
  2. Step 2: Convert to fraction form
    22,795.40/34,189.68 = 7,211/x
  3. Step 3: Cross multiply
    22,795.40x = 34,189.68 × 7,211
  4. Step 4: Simplify right side
    22,795.40x = 246,541,782.48
  5. Step 5: Solve for x
    x = 246,541,782.48/22,795.40
  6. Step 6: Final answer
    x = 10,815.42

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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.