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Finding the Fourth Proportional to 20,471.36, 30,707.40 and 7,333.16

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Solution

The fourth proportional to 20,471.36, 30,707.40 and 7,333.16 is: 10,999.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,471.36 : 30,707.40 = 7,333.16 : x
  2. Step 2: Convert to fraction form
    20,471.36/30,707.40 = 7,333.16/x
  3. Step 3: Cross multiply
    20,471.36x = 30,707.40 × 7,333.16
  4. Step 4: Simplify right side
    20,471.36x = 225,182,277.38
  5. Step 5: Solve for x
    x = 225,182,277.38/20,471.36
  6. Step 6: Final answer
    x = 10,999.87

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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.