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Finding the Fourth Proportional to 13,616.34, 20,387.79 and 9,447.54

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Solution

The fourth proportional to 13,616.34, 20,387.79 and 9,447.54 is: 14,145.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,616.34 : 20,387.79 = 9,447.54 : x
  2. Step 2: Convert to fraction form
    13,616.34/20,387.79 = 9,447.54/x
  3. Step 3: Cross multiply
    13,616.34x = 20,387.79 × 9,447.54
  4. Step 4: Simplify right side
    13,616.34x = 192,614,461.54
  5. Step 5: Solve for x
    x = 192,614,461.54/13,616.34
  6. Step 6: Final answer
    x = 14,145.83

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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.