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Finding the Fourth Proportional to 14,529.82, 21,793.64 and 5,169.46

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Solution

The fourth proportional to 14,529.82, 21,793.64 and 5,169.46 is: 7,753.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,529.82 : 21,793.64 = 5,169.46 : x
  2. Step 2: Convert to fraction form
    14,529.82/21,793.64 = 5,169.46/x
  3. Step 3: Cross multiply
    14,529.82x = 21,793.64 × 5,169.46
  4. Step 4: Simplify right side
    14,529.82x = 112,661,350.23
  5. Step 5: Solve for x
    x = 112,661,350.23/14,529.82
  6. Step 6: Final answer
    x = 7,753.80

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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.