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Finding the Fourth Proportional to 24,473.67, 36,707.37 and 7,832.31

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Solution

The fourth proportional to 24,473.67, 36,707.37 and 7,832.31 is: 11,747.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,473.67 : 36,707.37 = 7,832.31 : x
  2. Step 2: Convert to fraction form
    24,473.67/36,707.37 = 7,832.31/x
  3. Step 3: Cross multiply
    24,473.67x = 36,707.37 × 7,832.31
  4. Step 4: Simplify right side
    24,473.67x = 287,503,501.12
  5. Step 5: Solve for x
    x = 287,503,501.12/24,473.67
  6. Step 6: Final answer
    x = 11,747.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.