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Finding the Fourth Proportional to 12,940.80, 17,849.60 and 8,742.40

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Solution

The fourth proportional to 12,940.80, 17,849.60 and 8,742.40 is: 12,058.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,940.80 : 17,849.60 = 8,742.40 : x
  2. Step 2: Convert to fraction form
    12,940.80/17,849.60 = 8,742.40/x
  3. Step 3: Cross multiply
    12,940.80x = 17,849.60 × 8,742.40
  4. Step 4: Simplify right side
    12,940.80x = 156,048,343.04
  5. Step 5: Solve for x
    x = 156,048,343.04/12,940.80
  6. Step 6: Final answer
    x = 12,058.63

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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.