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Finding the Fourth Proportional to 17,732.93, 24,471.45 and 9,775.33

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Solution

The fourth proportional to 17,732.93, 24,471.45 and 9,775.33 is: 13,489.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,732.93 : 24,471.45 = 9,775.33 : x
  2. Step 2: Convert to fraction form
    17,732.93/24,471.45 = 9,775.33/x
  3. Step 3: Cross multiply
    17,732.93x = 24,471.45 × 9,775.33
  4. Step 4: Simplify right side
    17,732.93x = 239,216,499.33
  5. Step 5: Solve for x
    x = 239,216,499.33/17,732.93
  6. Step 6: Final answer
    x = 13,489.96

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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.