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Finding the Fourth Proportional to 14,563.12, 20,059.68 and 10,306.84

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Solution

The fourth proportional to 14,563.12, 20,059.68 and 10,306.84 is: 14,196.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,563.12 : 20,059.68 = 10,306.84 : x
  2. Step 2: Convert to fraction form
    14,563.12/20,059.68 = 10,306.84/x
  3. Step 3: Cross multiply
    14,563.12x = 20,059.68 × 10,306.84
  4. Step 4: Simplify right side
    14,563.12x = 206,751,912.21
  5. Step 5: Solve for x
    x = 206,751,912.21/14,563.12
  6. Step 6: Final answer
    x = 14,196.95

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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.