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Finding the Fourth Proportional to 20,874.16, 31,288.56 and 9,773.92

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Solution

The fourth proportional to 20,874.16, 31,288.56 and 9,773.92 is: 14,650.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,874.16 : 31,288.56 = 9,773.92 : x
  2. Step 2: Convert to fraction form
    20,874.16/31,288.56 = 9,773.92/x
  3. Step 3: Cross multiply
    20,874.16x = 31,288.56 × 9,773.92
  4. Step 4: Simplify right side
    20,874.16x = 305,811,882.36
  5. Step 5: Solve for x
    x = 305,811,882.36/20,874.16
  6. Step 6: Final answer
    x = 14,650.26

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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.