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Finding the Fourth Proportional to 20,902.43, 31,358.66 and 7,754.91

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Solution

The fourth proportional to 20,902.43, 31,358.66 and 7,754.91 is: 11,634.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,902.43 : 31,358.66 = 7,754.91 : x
  2. Step 2: Convert to fraction form
    20,902.43/31,358.66 = 7,754.91/x
  3. Step 3: Cross multiply
    20,902.43x = 31,358.66 × 7,754.91
  4. Step 4: Simplify right side
    20,902.43x = 243,183,547.25
  5. Step 5: Solve for x
    x = 243,183,547.25/20,902.43
  6. Step 6: Final answer
    x = 11,634.23

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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.