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Finding the Fourth Proportional to 12,740, 17,581.96 and 8,025.20

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Solution

The fourth proportional to 12,740, 17,581.96 and 8,025.20 is: 11,075.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,740 : 17,581.96 = 8,025.20 : x
  2. Step 2: Convert to fraction form
    12,740/17,581.96 = 8,025.20/x
  3. Step 3: Cross multiply
    12,740x = 17,581.96 × 8,025.20
  4. Step 4: Simplify right side
    12,740x = 141,098,745.39
  5. Step 5: Solve for x
    x = 141,098,745.39/12,740
  6. Step 6: Final answer
    x = 11,075.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.