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Finding the Fourth Proportional to 13,218.88, 19,847.76 and 5,442.88

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Solution

The fourth proportional to 13,218.88, 19,847.76 and 5,442.88 is: 8,172.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,218.88 : 19,847.76 = 5,442.88 : x
  2. Step 2: Convert to fraction form
    13,218.88/19,847.76 = 5,442.88/x
  3. Step 3: Cross multiply
    13,218.88x = 19,847.76 × 5,442.88
  4. Step 4: Simplify right side
    13,218.88x = 108,028,975.95
  5. Step 5: Solve for x
    x = 108,028,975.95/13,218.88
  6. Step 6: Final answer
    x = 8,172.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.