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Finding the Fourth Proportional to 20,091.52, 30,137.55 and 9,562.63

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Solution

The fourth proportional to 20,091.52, 30,137.55 and 9,562.63 is: 14,344.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,091.52 : 30,137.55 = 9,562.63 : x
  2. Step 2: Convert to fraction form
    20,091.52/30,137.55 = 9,562.63/x
  3. Step 3: Cross multiply
    20,091.52x = 30,137.55 × 9,562.63
  4. Step 4: Simplify right side
    20,091.52x = 288,194,239.76
  5. Step 5: Solve for x
    x = 288,194,239.76/20,091.52
  6. Step 6: Final answer
    x = 14,344.07

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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.