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Finding the Fourth Proportional to 23,691.50, 35,516.31 and 9,663.27

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Solution

The fourth proportional to 23,691.50, 35,516.31 and 9,663.27 is: 14,486.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,691.50 : 35,516.31 = 9,663.27 : x
  2. Step 2: Convert to fraction form
    23,691.50/35,516.31 = 9,663.27/x
  3. Step 3: Cross multiply
    23,691.50x = 35,516.31 × 9,663.27
  4. Step 4: Simplify right side
    23,691.50x = 343,203,605.04
  5. Step 5: Solve for x
    x = 343,203,605.04/23,691.50
  6. Step 6: Final answer
    x = 14,486.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.