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Finding the Fourth Proportional to 22,442.40, 33,666.84 and 6,861.24

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Solution

The fourth proportional to 22,442.40, 33,666.84 and 6,861.24 is: 10,292.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,442.40 : 33,666.84 = 6,861.24 : x
  2. Step 2: Convert to fraction form
    22,442.40/33,666.84 = 6,861.24/x
  3. Step 3: Cross multiply
    22,442.40x = 33,666.84 × 6,861.24
  4. Step 4: Simplify right side
    22,442.40x = 230,996,269.28
  5. Step 5: Solve for x
    x = 230,996,269.28/22,442.40
  6. Step 6: Final answer
    x = 10,292.85

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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.