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Finding the Fourth Proportional to 20,340.17, 30,486.83 and 7,854.69

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Solution

The fourth proportional to 20,340.17, 30,486.83 and 7,854.69 is: 11,772.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,340.17 : 30,486.83 = 7,854.69 : x
  2. Step 2: Convert to fraction form
    20,340.17/30,486.83 = 7,854.69/x
  3. Step 3: Cross multiply
    20,340.17x = 30,486.83 × 7,854.69
  4. Step 4: Simplify right side
    20,340.17x = 239,464,559.46
  5. Step 5: Solve for x
    x = 239,464,559.46/20,340.17
  6. Step 6: Final answer
    x = 11,772.99

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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.