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Finding the Fourth Proportional to 17,486.80, 24,131.79 and 9,529

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Solution

The fourth proportional to 17,486.80, 24,131.79 and 9,529 is: 13,150.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,486.80 : 24,131.79 = 9,529 : x
  2. Step 2: Convert to fraction form
    17,486.80/24,131.79 = 9,529/x
  3. Step 3: Cross multiply
    17,486.80x = 24,131.79 × 9,529
  4. Step 4: Simplify right side
    17,486.80x = 229,951,826.91
  5. Step 5: Solve for x
    x = 229,951,826.91/17,486.80
  6. Step 6: Final answer
    x = 13,150.02

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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.