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Finding the Fourth Proportional to 13,952.48, 20,919 and 8,684.24

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Solution

The fourth proportional to 13,952.48, 20,919 and 8,684.24 is: 13,020.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,952.48 : 20,919 = 8,684.24 : x
  2. Step 2: Convert to fraction form
    13,952.48/20,919 = 8,684.24/x
  3. Step 3: Cross multiply
    13,952.48x = 20,919 × 8,684.24
  4. Step 4: Simplify right side
    13,952.48x = 181,665,616.56
  5. Step 5: Solve for x
    x = 181,665,616.56/13,952.48
  6. Step 6: Final answer
    x = 13,020.31

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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.