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Finding the Fourth Proportional to 16,861.71, 23,270.42 and 9,789.21

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Solution

The fourth proportional to 16,861.71, 23,270.42 and 9,789.21 is: 13,509.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,861.71 : 23,270.42 = 9,789.21 : x
  2. Step 2: Convert to fraction form
    16,861.71/23,270.42 = 9,789.21/x
  3. Step 3: Cross multiply
    16,861.71x = 23,270.42 × 9,789.21
  4. Step 4: Simplify right side
    16,861.71x = 227,799,028.17
  5. Step 5: Solve for x
    x = 227,799,028.17/16,861.71
  6. Step 6: Final answer
    x = 13,509.84

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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.