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Finding the Fourth Proportional to 13,250.85, 19,871.16 and 5,647.31

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Solution

The fourth proportional to 13,250.85, 19,871.16 and 5,647.31 is: 8,468.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,250.85 : 19,871.16 = 5,647.31 : x
  2. Step 2: Convert to fraction form
    13,250.85/19,871.16 = 5,647.31/x
  3. Step 3: Cross multiply
    13,250.85x = 19,871.16 × 5,647.31
  4. Step 4: Simplify right side
    13,250.85x = 112,218,501.22
  5. Step 5: Solve for x
    x = 112,218,501.22/13,250.85
  6. Step 6: Final answer
    x = 8,468.78

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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.