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Finding the Fourth Proportional to 20,793.16, 31,190 and 9,696.68

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Solution

The fourth proportional to 20,793.16, 31,190 and 9,696.68 is: 14,545.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,793.16 : 31,190 = 9,696.68 : x
  2. Step 2: Convert to fraction form
    20,793.16/31,190 = 9,696.68/x
  3. Step 3: Cross multiply
    20,793.16x = 31,190 × 9,696.68
  4. Step 4: Simplify right side
    20,793.16x = 302,439,449.20
  5. Step 5: Solve for x
    x = 302,439,449.20/20,793.16
  6. Step 6: Final answer
    x = 14,545.14

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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.