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Finding the Fourth Proportional to 12,581, 18,874.20 and 4,261.24

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Solution

The fourth proportional to 12,581, 18,874.20 and 4,261.24 is: 6,392.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,581 : 18,874.20 = 4,261.24 : x
  2. Step 2: Convert to fraction form
    12,581/18,874.20 = 4,261.24/x
  3. Step 3: Cross multiply
    12,581x = 18,874.20 × 4,261.24
  4. Step 4: Simplify right side
    12,581x = 80,427,496.01
  5. Step 5: Solve for x
    x = 80,427,496.01/12,581
  6. Step 6: Final answer
    x = 6,392.77

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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.