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Finding the Fourth Proportional to 20,833.92, 31,233.76 and 9,735.12

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Solution

The fourth proportional to 20,833.92, 31,233.76 and 9,735.12 is: 14,594.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,833.92 : 31,233.76 = 9,735.12 : x
  2. Step 2: Convert to fraction form
    20,833.92/31,233.76 = 9,735.12/x
  3. Step 3: Cross multiply
    20,833.92x = 31,233.76 × 9,735.12
  4. Step 4: Simplify right side
    20,833.92x = 304,064,401.65
  5. Step 5: Solve for x
    x = 304,064,401.65/20,833.92
  6. Step 6: Final answer
    x = 14,594.68

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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.