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Finding the Fourth Proportional to 17,723.21, 24,458.00 and 9,765.56

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Solution

The fourth proportional to 17,723.21, 24,458.00 and 9,765.56 is: 13,476.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,723.21 : 24,458.00 = 9,765.56 : x
  2. Step 2: Convert to fraction form
    17,723.21/24,458.00 = 9,765.56/x
  3. Step 3: Cross multiply
    17,723.21x = 24,458.00 × 9,765.56
  4. Step 4: Simplify right side
    17,723.21x = 238,846,133.73
  5. Step 5: Solve for x
    x = 238,846,133.73/17,723.21
  6. Step 6: Final answer
    x = 13,476.46

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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.