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Finding the Fourth Proportional to 12,537.40, 18,797.64 and 5,517.40

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Solution

The fourth proportional to 12,537.40, 18,797.64 and 5,517.40 is: 8,272.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,537.40 : 18,797.64 = 5,517.40 : x
  2. Step 2: Convert to fraction form
    12,537.40/18,797.64 = 5,517.40/x
  3. Step 3: Cross multiply
    12,537.40x = 18,797.64 × 5,517.40
  4. Step 4: Simplify right side
    12,537.40x = 103,714,098.94
  5. Step 5: Solve for x
    x = 103,714,098.94/12,537.40
  6. Step 6: Final answer
    x = 8,272.38

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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.