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Finding the Fourth Proportional to 17,911.86, 24,719.31 and 9,954.24

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Solution

The fourth proportional to 17,911.86, 24,719.31 and 9,954.24 is: 13,737.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,911.86 : 24,719.31 = 9,954.24 : x
  2. Step 2: Convert to fraction form
    17,911.86/24,719.31 = 9,954.24/x
  3. Step 3: Cross multiply
    17,911.86x = 24,719.31 × 9,954.24
  4. Step 4: Simplify right side
    17,911.86x = 246,061,944.37
  5. Step 5: Solve for x
    x = 246,061,944.37/17,911.86
  6. Step 6: Final answer
    x = 13,737.38

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Why These Related Problems?

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