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Finding the Fourth Proportional to 12,524.48, 17,269.11 and 9,998.50

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Solution

The fourth proportional to 12,524.48, 17,269.11 and 9,998.50 is: 13,786.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,524.48 : 17,269.11 = 9,998.50 : x
  2. Step 2: Convert to fraction form
    12,524.48/17,269.11 = 9,998.50/x
  3. Step 3: Cross multiply
    12,524.48x = 17,269.11 × 9,998.50
  4. Step 4: Simplify right side
    12,524.48x = 172,665,109.99
  5. Step 5: Solve for x
    x = 172,665,109.99/12,524.48
  6. Step 6: Final answer
    x = 13,786.21

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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.