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Finding the Fourth Proportional to 17,864.28, 24,652.24 and 9,906.48

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Solution

The fourth proportional to 17,864.28, 24,652.24 and 9,906.48 is: 13,670.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,864.28 : 24,652.24 = 9,906.48 : x
  2. Step 2: Convert to fraction form
    17,864.28/24,652.24 = 9,906.48/x
  3. Step 3: Cross multiply
    17,864.28x = 24,652.24 × 9,906.48
  4. Step 4: Simplify right side
    17,864.28x = 244,216,922.52
  5. Step 5: Solve for x
    x = 244,216,922.52/17,864.28
  6. Step 6: Final answer
    x = 13,670.68

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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.