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Finding the Fourth Proportional to 22,741.83, 34,120.91 and 7,952.92

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Solution

The fourth proportional to 22,741.83, 34,120.91 and 7,952.92 is: 11,932.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,741.83 : 34,120.91 = 7,952.92 : x
  2. Step 2: Convert to fraction form
    22,741.83/34,120.91 = 7,952.92/x
  3. Step 3: Cross multiply
    22,741.83x = 34,120.91 × 7,952.92
  4. Step 4: Simplify right side
    22,741.83x = 271,360,802.14
  5. Step 5: Solve for x
    x = 271,360,802.14/22,741.83
  6. Step 6: Final answer
    x = 11,932.23

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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.