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Finding the Fourth Proportional to 20,792.16, 31,189.36 and 8,314.08

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Solution

The fourth proportional to 20,792.16, 31,189.36 and 8,314.08 is: 12,471.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,792.16 : 31,189.36 = 8,314.08 : x
  2. Step 2: Convert to fraction form
    20,792.16/31,189.36 = 8,314.08/x
  3. Step 3: Cross multiply
    20,792.16x = 31,189.36 × 8,314.08
  4. Step 4: Simplify right side
    20,792.16x = 259,310,834.19
  5. Step 5: Solve for x
    x = 259,310,834.19/20,792.16
  6. Step 6: Final answer
    x = 12,471.57

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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.