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Finding the Fourth Proportional to 20,471.84, 30,722.32 and 9,371.60

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Solution

The fourth proportional to 20,471.84, 30,722.32 and 9,371.60 is: 14,064.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,471.84 : 30,722.32 = 9,371.60 : x
  2. Step 2: Convert to fraction form
    20,471.84/30,722.32 = 9,371.60/x
  3. Step 3: Cross multiply
    20,471.84x = 30,722.32 × 9,371.60
  4. Step 4: Simplify right side
    20,471.84x = 287,917,294.11
  5. Step 5: Solve for x
    x = 287,917,294.11/20,471.84
  6. Step 6: Final answer
    x = 14,064.07

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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.