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Finding the Fourth Proportional to 13,188.88, 18,197.70 and 7,882.84

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Solution

The fourth proportional to 13,188.88, 18,197.70 and 7,882.84 is: 10,876.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,188.88 : 18,197.70 = 7,882.84 : x
  2. Step 2: Convert to fraction form
    13,188.88/18,197.70 = 7,882.84/x
  3. Step 3: Cross multiply
    13,188.88x = 18,197.70 × 7,882.84
  4. Step 4: Simplify right side
    13,188.88x = 143,449,557.47
  5. Step 5: Solve for x
    x = 143,449,557.47/13,188.88
  6. Step 6: Final answer
    x = 10,876.55

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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.