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Finding the Fourth Proportional to 22,442.94, 33,663.60 and 6,647.40

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Solution

The fourth proportional to 22,442.94, 33,663.60 and 6,647.40 is: 9,970.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,442.94 : 33,663.60 = 6,647.40 : x
  2. Step 2: Convert to fraction form
    22,442.94/33,663.60 = 6,647.40/x
  3. Step 3: Cross multiply
    22,442.94x = 33,663.60 × 6,647.40
  4. Step 4: Simplify right side
    22,442.94x = 223,775,414.64
  5. Step 5: Solve for x
    x = 223,775,414.64/22,442.94
  6. Step 6: Final answer
    x = 9,970.86

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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.