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Finding the Fourth Proportional to 13,737.48, 18,954.42 and 7,768.32

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Solution

The fourth proportional to 13,737.48, 18,954.42 and 7,768.32 is: 10,718.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,737.48 : 18,954.42 = 7,768.32 : x
  2. Step 2: Convert to fraction form
    13,737.48/18,954.42 = 7,768.32/x
  3. Step 3: Cross multiply
    13,737.48x = 18,954.42 × 7,768.32
  4. Step 4: Simplify right side
    13,737.48x = 147,243,999.97
  5. Step 5: Solve for x
    x = 147,243,999.97/13,737.48
  6. Step 6: Final answer
    x = 10,718.41

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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.