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Finding the Fourth Proportional to 20,873.57, 31,315.16 and 6,834.05

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Solution

The fourth proportional to 20,873.57, 31,315.16 and 6,834.05 is: 10,252.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,873.57 : 31,315.16 = 6,834.05 : x
  2. Step 2: Convert to fraction form
    20,873.57/31,315.16 = 6,834.05/x
  3. Step 3: Cross multiply
    20,873.57x = 31,315.16 × 6,834.05
  4. Step 4: Simplify right side
    20,873.57x = 214,009,369.20
  5. Step 5: Solve for x
    x = 214,009,369.20/20,873.57
  6. Step 6: Final answer
    x = 10,252.65

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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.