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Finding the Fourth Proportional to 16,313.22, 22,516.68 and 9,601

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Solution

The fourth proportional to 16,313.22, 22,516.68 and 9,601 is: 13,251.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,313.22 : 22,516.68 = 9,601 : x
  2. Step 2: Convert to fraction form
    16,313.22/22,516.68 = 9,601/x
  3. Step 3: Cross multiply
    16,313.22x = 22,516.68 × 9,601
  4. Step 4: Simplify right side
    16,313.22x = 216,182,644.68
  5. Step 5: Solve for x
    x = 216,182,644.68/16,313.22
  6. Step 6: Final answer
    x = 13,251.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.