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Finding the Fourth Proportional to 13,989.57, 19,306.22 and 8,021.81

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Solution

The fourth proportional to 13,989.57, 19,306.22 and 8,021.81 is: 11,070.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,989.57 : 19,306.22 = 8,021.81 : x
  2. Step 2: Convert to fraction form
    13,989.57/19,306.22 = 8,021.81/x
  3. Step 3: Cross multiply
    13,989.57x = 19,306.22 × 8,021.81
  4. Step 4: Simplify right side
    13,989.57x = 154,870,692.02
  5. Step 5: Solve for x
    x = 154,870,692.02/13,989.57
  6. Step 6: Final answer
    x = 11,070.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.