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Finding the Fourth Proportional to 17,486.86, 24,131.38 and 9,529.15

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Solution

The fourth proportional to 17,486.86, 24,131.38 and 9,529.15 is: 13,149.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,486.86 : 24,131.38 = 9,529.15 : x
  2. Step 2: Convert to fraction form
    17,486.86/24,131.38 = 9,529.15/x
  3. Step 3: Cross multiply
    17,486.86x = 24,131.38 × 9,529.15
  4. Step 4: Simplify right side
    17,486.86x = 229,951,539.73
  5. Step 5: Solve for x
    x = 229,951,539.73/17,486.86
  6. Step 6: Final answer
    x = 13,149.96

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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.