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Finding the Fourth Proportional to 20,572.96, 30,836.10 and 9,456.68

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Solution

The fourth proportional to 20,572.96, 30,836.10 and 9,456.68 is: 14,174.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,572.96 : 30,836.10 = 9,456.68 : x
  2. Step 2: Convert to fraction form
    20,572.96/30,836.10 = 9,456.68/x
  3. Step 3: Cross multiply
    20,572.96x = 30,836.10 × 9,456.68
  4. Step 4: Simplify right side
    20,572.96x = 291,606,975.97
  5. Step 5: Solve for x
    x = 291,606,975.97/20,572.96
  6. Step 6: Final answer
    x = 14,174.29

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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.