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Finding the Fourth Proportional to 13,643.97, 18,822.56 and 8,337.80

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Solution

The fourth proportional to 13,643.97, 18,822.56 and 8,337.80 is: 11,502.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,643.97 : 18,822.56 = 8,337.80 : x
  2. Step 2: Convert to fraction form
    13,643.97/18,822.56 = 8,337.80/x
  3. Step 3: Cross multiply
    13,643.97x = 18,822.56 × 8,337.80
  4. Step 4: Simplify right side
    13,643.97x = 156,938,604.97
  5. Step 5: Solve for x
    x = 156,938,604.97/13,643.97
  6. Step 6: Final answer
    x = 11,502.41

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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.