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Finding the Fourth Proportional to 13,811.40, 20,721.90 and 6,022.60

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Solution

The fourth proportional to 13,811.40, 20,721.90 and 6,022.60 is: 9,035.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,811.40 : 20,721.90 = 6,022.60 : x
  2. Step 2: Convert to fraction form
    13,811.40/20,721.90 = 6,022.60/x
  3. Step 3: Cross multiply
    13,811.40x = 20,721.90 × 6,022.60
  4. Step 4: Simplify right side
    13,811.40x = 124,799,714.94
  5. Step 5: Solve for x
    x = 124,799,714.94/13,811.40
  6. Step 6: Final answer
    x = 9,035.99

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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.