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Finding the Fourth Proportional to 20,639.74, 30,955.58 and 6,596

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Solution

The fourth proportional to 20,639.74, 30,955.58 and 6,596 is: 9,892.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,639.74 : 30,955.58 = 6,596 : x
  2. Step 2: Convert to fraction form
    20,639.74/30,955.58 = 6,596/x
  3. Step 3: Cross multiply
    20,639.74x = 30,955.58 × 6,596
  4. Step 4: Simplify right side
    20,639.74x = 204,183,005.68
  5. Step 5: Solve for x
    x = 204,183,005.68/20,639.74
  6. Step 6: Final answer
    x = 9,892.71

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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.