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Finding the Fourth Proportional to 17,632.96, 24,333.34 and 9,674.96

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Solution

The fourth proportional to 17,632.96, 24,333.34 and 9,674.96 is: 13,351.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,632.96 : 24,333.34 = 9,674.96 : x
  2. Step 2: Convert to fraction form
    17,632.96/24,333.34 = 9,674.96/x
  3. Step 3: Cross multiply
    17,632.96x = 24,333.34 × 9,674.96
  4. Step 4: Simplify right side
    17,632.96x = 235,424,091.17
  5. Step 5: Solve for x
    x = 235,424,091.17/17,632.96
  6. Step 6: Final answer
    x = 13,351.37

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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.