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Finding the Fourth Proportional to 19,520.77, 29,282.43 and 7,832.47

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Solution

The fourth proportional to 19,520.77, 29,282.43 and 7,832.47 is: 11,749.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,520.77 : 29,282.43 = 7,832.47 : x
  2. Step 2: Convert to fraction form
    19,520.77/29,282.43 = 7,832.47/x
  3. Step 3: Cross multiply
    19,520.77x = 29,282.43 × 7,832.47
  4. Step 4: Simplify right side
    19,520.77x = 229,353,608.09
  5. Step 5: Solve for x
    x = 229,353,608.09/19,520.77
  6. Step 6: Final answer
    x = 11,749.21

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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.