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Finding the Fourth Proportional to 27,989.34, 38,571.62 and 17,900.21

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Solution

The fourth proportional to 27,989.34, 38,571.62 and 17,900.21 is: 24,667.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,989.34 : 38,571.62 = 17,900.21 : x
  2. Step 2: Convert to fraction form
    27,989.34/38,571.62 = 17,900.21/x
  3. Step 3: Cross multiply
    27,989.34x = 38,571.62 × 17,900.21
  4. Step 4: Simplify right side
    27,989.34x = 690,439,949.93
  5. Step 5: Solve for x
    x = 690,439,949.93/27,989.34
  6. Step 6: Final answer
    x = 24,667.96

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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.