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Finding the Fourth Proportional to 19,711.75, 27,202.23 and 14,680.30

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Solution

The fourth proportional to 19,711.75, 27,202.23 and 14,680.30 is: 20,258.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,711.75 : 27,202.23 = 14,680.30 : x
  2. Step 2: Convert to fraction form
    19,711.75/27,202.23 = 14,680.30/x
  3. Step 3: Cross multiply
    19,711.75x = 27,202.23 × 14,680.30
  4. Step 4: Simplify right side
    19,711.75x = 399,336,897.07
  5. Step 5: Solve for x
    x = 399,336,897.07/19,711.75
  6. Step 6: Final answer
    x = 20,258.83

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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.