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Finding the Fourth Proportional to 20,414.17, 30,628.09 and 7,934.61

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Solution

The fourth proportional to 20,414.17, 30,628.09 and 7,934.61 is: 11,904.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,414.17 : 30,628.09 = 7,934.61 : x
  2. Step 2: Convert to fraction form
    20,414.17/30,628.09 = 7,934.61/x
  3. Step 3: Cross multiply
    20,414.17x = 30,628.09 × 7,934.61
  4. Step 4: Simplify right side
    20,414.17x = 243,021,949.19
  5. Step 5: Solve for x
    x = 243,021,949.19/20,414.17
  6. Step 6: Final answer
    x = 11,904.57

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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.