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Finding the Fourth Proportional to 21,161.13, 31,740.44 and 9,471.21

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Solution

The fourth proportional to 21,161.13, 31,740.44 and 9,471.21 is: 14,206.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,161.13 : 31,740.44 = 9,471.21 : x
  2. Step 2: Convert to fraction form
    21,161.13/31,740.44 = 9,471.21/x
  3. Step 3: Cross multiply
    21,161.13x = 31,740.44 × 9,471.21
  4. Step 4: Simplify right side
    21,161.13x = 300,620,325.38
  5. Step 5: Solve for x
    x = 300,620,325.38/21,161.13
  6. Step 6: Final answer
    x = 14,206.25

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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.