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Finding the Fourth Proportional to 20,568.23, 30,842.62 and 9,471.63

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Solution

The fourth proportional to 20,568.23, 30,842.62 and 9,471.63 is: 14,202.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,568.23 : 30,842.62 = 9,471.63 : x
  2. Step 2: Convert to fraction form
    20,568.23/30,842.62 = 9,471.63/x
  3. Step 3: Cross multiply
    20,568.23x = 30,842.62 × 9,471.63
  4. Step 4: Simplify right side
    20,568.23x = 292,130,030.13
  5. Step 5: Solve for x
    x = 292,130,030.13/20,568.23
  6. Step 6: Final answer
    x = 14,202.97

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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.