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Finding the Fourth Proportional to 17,424.86, 24,041 and 9,869.99

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Solution

The fourth proportional to 17,424.86, 24,041 and 9,869.99 is: 13,617.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,424.86 : 24,041 = 9,869.99 : x
  2. Step 2: Convert to fraction form
    17,424.86/24,041 = 9,869.99/x
  3. Step 3: Cross multiply
    17,424.86x = 24,041 × 9,869.99
  4. Step 4: Simplify right side
    17,424.86x = 237,284,309.39
  5. Step 5: Solve for x
    x = 237,284,309.39/17,424.86
  6. Step 6: Final answer
    x = 13,617.58

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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.