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Finding the Fourth Proportional to 12,884.40, 19,326.96 and 4,563.24

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Solution

The fourth proportional to 12,884.40, 19,326.96 and 4,563.24 is: 6,844.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,884.40 : 19,326.96 = 4,563.24 : x
  2. Step 2: Convert to fraction form
    12,884.40/19,326.96 = 4,563.24/x
  3. Step 3: Cross multiply
    12,884.40x = 19,326.96 × 4,563.24
  4. Step 4: Simplify right side
    12,884.40x = 88,193,556.95
  5. Step 5: Solve for x
    x = 88,193,556.95/12,884.40
  6. Step 6: Final answer
    x = 6,844.99

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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.