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Finding the Fourth Proportional to 17,723.19, 24,459.09 and 9,765.42

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Solution

The fourth proportional to 17,723.19, 24,459.09 and 9,765.42 is: 13,476.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,723.19 : 24,459.09 = 9,765.42 : x
  2. Step 2: Convert to fraction form
    17,723.19/24,459.09 = 9,765.42/x
  3. Step 3: Cross multiply
    17,723.19x = 24,459.09 × 9,765.42
  4. Step 4: Simplify right side
    17,723.19x = 238,853,286.67
  5. Step 5: Solve for x
    x = 238,853,286.67/17,723.19
  6. Step 6: Final answer
    x = 13,476.88

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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.