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Finding the Fourth Proportional to 17,789.68, 24,551.48 and 9,832.48

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Solution

The fourth proportional to 17,789.68, 24,551.48 and 9,832.48 is: 13,569.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,789.68 : 24,551.48 = 9,832.48 : x
  2. Step 2: Convert to fraction form
    17,789.68/24,551.48 = 9,832.48/x
  3. Step 3: Cross multiply
    17,789.68x = 24,551.48 × 9,832.48
  4. Step 4: Simplify right side
    17,789.68x = 241,401,936.07
  5. Step 5: Solve for x
    x = 241,401,936.07/17,789.68
  6. Step 6: Final answer
    x = 13,569.77

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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.