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Finding the Fourth Proportional to 20,471.10, 30,651.96 and 13,035.30

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Solution

The fourth proportional to 20,471.10, 30,651.96 and 13,035.30 is: 19,518.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,471.10 : 30,651.96 = 13,035.30 : x
  2. Step 2: Convert to fraction form
    20,471.10/30,651.96 = 13,035.30/x
  3. Step 3: Cross multiply
    20,471.10x = 30,651.96 × 13,035.30
  4. Step 4: Simplify right side
    20,471.10x = 399,557,494.19
  5. Step 5: Solve for x
    x = 399,557,494.19/20,471.10
  6. Step 6: Final answer
    x = 19,518.13

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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.