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Finding the Fourth Proportional to 19,711.71, 27,202.14 and 12,638.12

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Solution

The fourth proportional to 19,711.71, 27,202.14 and 12,638.12 is: 17,440.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,711.71 : 27,202.14 = 12,638.12 : x
  2. Step 2: Convert to fraction form
    19,711.71/27,202.14 = 12,638.12/x
  3. Step 3: Cross multiply
    19,711.71x = 27,202.14 × 12,638.12
  4. Step 4: Simplify right side
    19,711.71x = 343,783,773.57
  5. Step 5: Solve for x
    x = 343,783,773.57/19,711.71
  6. Step 6: Final answer
    x = 17,440.59

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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.