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Finding the Fourth Proportional to 17,662.96, 24,375.54 and 9,705.94

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Solution

The fourth proportional to 17,662.96, 24,375.54 and 9,705.94 is: 13,394.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,662.96 : 24,375.54 = 9,705.94 : x
  2. Step 2: Convert to fraction form
    17,662.96/24,375.54 = 9,705.94/x
  3. Step 3: Cross multiply
    17,662.96x = 24,375.54 × 9,705.94
  4. Step 4: Simplify right side
    17,662.96x = 236,587,528.71
  5. Step 5: Solve for x
    x = 236,587,528.71/17,662.96
  6. Step 6: Final answer
    x = 13,394.56

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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.