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Finding the Fourth Proportional to 20,059.80, 30,049.49 and 9,539.99

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Solution

The fourth proportional to 20,059.80, 30,049.49 and 9,539.99 is: 14,290.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,059.80 : 30,049.49 = 9,539.99 : x
  2. Step 2: Convert to fraction form
    20,059.80/30,049.49 = 9,539.99/x
  3. Step 3: Cross multiply
    20,059.80x = 30,049.49 × 9,539.99
  4. Step 4: Simplify right side
    20,059.80x = 286,671,876.07
  5. Step 5: Solve for x
    x = 286,671,876.07/20,059.80
  6. Step 6: Final answer
    x = 14,290.86

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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.