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Finding the Fourth Proportional to 13,244.97, 18,272.82 and 8,532

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Solution

The fourth proportional to 13,244.97, 18,272.82 and 8,532 is: 11,770.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,244.97 : 18,272.82 = 8,532 : x
  2. Step 2: Convert to fraction form
    13,244.97/18,272.82 = 8,532/x
  3. Step 3: Cross multiply
    13,244.97x = 18,272.82 × 8,532
  4. Step 4: Simplify right side
    13,244.97x = 155,903,700.24
  5. Step 5: Solve for x
    x = 155,903,700.24/13,244.97
  6. Step 6: Final answer
    x = 11,770.79

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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.