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Finding the Fourth Proportional to 20,953.38, 31,416.93 and 7,794.93

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Solution

The fourth proportional to 20,953.38, 31,416.93 and 7,794.93 is: 11,687.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,953.38 : 31,416.93 = 7,794.93 : x
  2. Step 2: Convert to fraction form
    20,953.38/31,416.93 = 7,794.93/x
  3. Step 3: Cross multiply
    20,953.38x = 31,416.93 × 7,794.93
  4. Step 4: Simplify right side
    20,953.38x = 244,892,770.16
  5. Step 5: Solve for x
    x = 244,892,770.16/20,953.38
  6. Step 6: Final answer
    x = 11,687.51

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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.