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Finding the Fourth Proportional to 22,261.63, 33,409.38 and 8,234.93

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Solution

The fourth proportional to 22,261.63, 33,409.38 and 8,234.93 is: 12,358.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,261.63 : 33,409.38 = 8,234.93 : x
  2. Step 2: Convert to fraction form
    22,261.63/33,409.38 = 8,234.93/x
  3. Step 3: Cross multiply
    22,261.63x = 33,409.38 × 8,234.93
  4. Step 4: Simplify right side
    22,261.63x = 275,123,905.64
  5. Step 5: Solve for x
    x = 275,123,905.64/22,261.63
  6. Step 6: Final answer
    x = 12,358.66

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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.