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Finding the Fourth Proportional to 13,737.44, 18,957.64 and 7,449.81

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Solution

The fourth proportional to 13,737.44, 18,957.64 and 7,449.81 is: 10,280.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,737.44 : 18,957.64 = 7,449.81 : x
  2. Step 2: Convert to fraction form
    13,737.44/18,957.64 = 7,449.81/x
  3. Step 3: Cross multiply
    13,737.44x = 18,957.64 × 7,449.81
  4. Step 4: Simplify right side
    13,737.44x = 141,230,816.05
  5. Step 5: Solve for x
    x = 141,230,816.05/13,737.44
  6. Step 6: Final answer
    x = 10,280.72

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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.