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Finding the Fourth Proportional to 17,713.72, 24,446.39 and 9,757.43

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Solution

The fourth proportional to 17,713.72, 24,446.39 and 9,757.43 is: 13,466.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,713.72 : 24,446.39 = 9,757.43 : x
  2. Step 2: Convert to fraction form
    17,713.72/24,446.39 = 9,757.43/x
  3. Step 3: Cross multiply
    17,713.72x = 24,446.39 × 9,757.43
  4. Step 4: Simplify right side
    17,713.72x = 238,533,816.95
  5. Step 5: Solve for x
    x = 238,533,816.95/17,713.72
  6. Step 6: Final answer
    x = 13,466.05

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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.