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Finding the Fourth Proportional to 20,502.30, 30,769.74 and 9,414.12

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Solution

The fourth proportional to 20,502.30, 30,769.74 and 9,414.12 is: 14,128.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,502.30 : 30,769.74 = 9,414.12 : x
  2. Step 2: Convert to fraction form
    20,502.30/30,769.74 = 9,414.12/x
  3. Step 3: Cross multiply
    20,502.30x = 30,769.74 × 9,414.12
  4. Step 4: Simplify right side
    20,502.30x = 289,670,024.73
  5. Step 5: Solve for x
    x = 289,670,024.73/20,502.30
  6. Step 6: Final answer
    x = 14,128.66

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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.