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Finding the Fourth Proportional to 15,845.20, 21,829.62 and 13,188

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Solution

The fourth proportional to 15,845.20, 21,829.62 and 13,188 is: 18,168.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,845.20 : 21,829.62 = 13,188 : x
  2. Step 2: Convert to fraction form
    15,845.20/21,829.62 = 13,188/x
  3. Step 3: Cross multiply
    15,845.20x = 21,829.62 × 13,188
  4. Step 4: Simplify right side
    15,845.20x = 287,889,028.56
  5. Step 5: Solve for x
    x = 287,889,028.56/15,845.20
  6. Step 6: Final answer
    x = 18,168.85

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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.