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Finding the Fourth Proportional to 12,781.44, 17,640.05 and 7,332.64

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Solution

The fourth proportional to 12,781.44, 17,640.05 and 7,332.64 is: 10,120.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,781.44 : 17,640.05 = 7,332.64 : x
  2. Step 2: Convert to fraction form
    12,781.44/17,640.05 = 7,332.64/x
  3. Step 3: Cross multiply
    12,781.44x = 17,640.05 × 7,332.64
  4. Step 4: Simplify right side
    12,781.44x = 129,348,136.23
  5. Step 5: Solve for x
    x = 129,348,136.23/12,781.44
  6. Step 6: Final answer
    x = 10,120.00

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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.