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Finding the Fourth Proportional to 12,537.80, 18,809.24 and 3,772.36

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Solution

The fourth proportional to 12,537.80, 18,809.24 and 3,772.36 is: 5,659.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,537.80 : 18,809.24 = 3,772.36 : x
  2. Step 2: Convert to fraction form
    12,537.80/18,809.24 = 3,772.36/x
  3. Step 3: Cross multiply
    12,537.80x = 18,809.24 × 3,772.36
  4. Step 4: Simplify right side
    12,537.80x = 70,955,224.61
  5. Step 5: Solve for x
    x = 70,955,224.61/12,537.80
  6. Step 6: Final answer
    x = 5,659.30

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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.