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Finding the Fourth Proportional to 23,134.88, 31,917.84 and 20,900

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Solution

The fourth proportional to 23,134.88, 31,917.84 and 20,900 is: 28,834.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,134.88 : 31,917.84 = 20,900 : x
  2. Step 2: Convert to fraction form
    23,134.88/31,917.84 = 20,900/x
  3. Step 3: Cross multiply
    23,134.88x = 31,917.84 × 20,900
  4. Step 4: Simplify right side
    23,134.88x = 667,082,856
  5. Step 5: Solve for x
    x = 667,082,856/23,134.88
  6. Step 6: Final answer
    x = 28,834.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.