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Finding the Fourth Proportional to 13,571.82, 18,719.10 and 8,532

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Solution

The fourth proportional to 13,571.82, 18,719.10 and 8,532 is: 11,767.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,571.82 : 18,719.10 = 8,532 : x
  2. Step 2: Convert to fraction form
    13,571.82/18,719.10 = 8,532/x
  3. Step 3: Cross multiply
    13,571.82x = 18,719.10 × 8,532
  4. Step 4: Simplify right side
    13,571.82x = 159,711,361.20
  5. Step 5: Solve for x
    x = 159,711,361.20/13,571.82
  6. Step 6: Final answer
    x = 11,767.87

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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.