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Finding the Fourth Proportional to 20,993.05, 31,497.24 and 9,753.58

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Solution

The fourth proportional to 20,993.05, 31,497.24 and 9,753.58 is: 14,633.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,993.05 : 31,497.24 = 9,753.58 : x
  2. Step 2: Convert to fraction form
    20,993.05/31,497.24 = 9,753.58/x
  3. Step 3: Cross multiply
    20,993.05x = 31,497.24 × 9,753.58
  4. Step 4: Simplify right side
    20,993.05x = 307,210,692.63
  5. Step 5: Solve for x
    x = 307,210,692.63/20,993.05
  6. Step 6: Final answer
    x = 14,633.93

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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.