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Finding the Fourth Proportional to 22,601.76, 33,878.34 and 9,447.36

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Solution

The fourth proportional to 22,601.76, 33,878.34 and 9,447.36 is: 14,160.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,601.76 : 33,878.34 = 9,447.36 : x
  2. Step 2: Convert to fraction form
    22,601.76/33,878.34 = 9,447.36/x
  3. Step 3: Cross multiply
    22,601.76x = 33,878.34 × 9,447.36
  4. Step 4: Simplify right side
    22,601.76x = 320,060,874.18
  5. Step 5: Solve for x
    x = 320,060,874.18/22,601.76
  6. Step 6: Final answer
    x = 14,160.88

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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.