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Finding the Fourth Proportional to 12,574.11, 18,861.32 and 3,809.41

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Solution

The fourth proportional to 12,574.11, 18,861.32 and 3,809.41 is: 5,714.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,574.11 : 18,861.32 = 3,809.41 : x
  2. Step 2: Convert to fraction form
    12,574.11/18,861.32 = 3,809.41/x
  3. Step 3: Cross multiply
    12,574.11x = 18,861.32 × 3,809.41
  4. Step 4: Simplify right side
    12,574.11x = 71,850,501.02
  5. Step 5: Solve for x
    x = 71,850,501.02/12,574.11
  6. Step 6: Final answer
    x = 5,714.16

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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.