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Finding the Fourth Proportional to 13,737.36, 18,957.34 and 7,768.81

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Solution

The fourth proportional to 13,737.36, 18,957.34 and 7,768.81 is: 10,720.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,737.36 : 18,957.34 = 7,768.81 : x
  2. Step 2: Convert to fraction form
    13,737.36/18,957.34 = 7,768.81/x
  3. Step 3: Cross multiply
    13,737.36x = 18,957.34 × 7,768.81
  4. Step 4: Simplify right side
    13,737.36x = 147,276,005.97
  5. Step 5: Solve for x
    x = 147,276,005.97/13,737.36
  6. Step 6: Final answer
    x = 10,720.83

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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.