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Finding the Fourth Proportional to 14,889.68, 20,557.37 and 9,230.44

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Solution

The fourth proportional to 14,889.68, 20,557.37 and 9,230.44 is: 12,743.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,889.68 : 20,557.37 = 9,230.44 : x
  2. Step 2: Convert to fraction form
    14,889.68/20,557.37 = 9,230.44/x
  3. Step 3: Cross multiply
    14,889.68x = 20,557.37 × 9,230.44
  4. Step 4: Simplify right side
    14,889.68x = 189,753,570.34
  5. Step 5: Solve for x
    x = 189,753,570.34/14,889.68
  6. Step 6: Final answer
    x = 12,743.97

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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.