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Finding the Fourth Proportional to 12,574.32, 18,861.75 and 3,809.22

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Solution

The fourth proportional to 12,574.32, 18,861.75 and 3,809.22 is: 5,713.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,574.32 : 18,861.75 = 3,809.22 : x
  2. Step 2: Convert to fraction form
    12,574.32/18,861.75 = 3,809.22/x
  3. Step 3: Cross multiply
    12,574.32x = 18,861.75 × 3,809.22
  4. Step 4: Simplify right side
    12,574.32x = 71,848,555.34
  5. Step 5: Solve for x
    x = 71,848,555.34/12,574.32
  6. Step 6: Final answer
    x = 5,713.91

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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.