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Finding the Fourth Proportional to 18,489.92, 27,737.51 and 6,802.25

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Solution

The fourth proportional to 18,489.92, 27,737.51 and 6,802.25 is: 10,204.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,489.92 : 27,737.51 = 6,802.25 : x
  2. Step 2: Convert to fraction form
    18,489.92/27,737.51 = 6,802.25/x
  3. Step 3: Cross multiply
    18,489.92x = 27,737.51 × 6,802.25
  4. Step 4: Simplify right side
    18,489.92x = 188,677,304.70
  5. Step 5: Solve for x
    x = 188,677,304.70/18,489.92
  6. Step 6: Final answer
    x = 10,204.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.