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Finding the Fourth Proportional to 15,737.44, 21,727.68 and 9,777.92

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Solution

The fourth proportional to 15,737.44, 21,727.68 and 9,777.92 is: 13,499.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,737.44 : 21,727.68 = 9,777.92 : x
  2. Step 2: Convert to fraction form
    15,737.44/21,727.68 = 9,777.92/x
  3. Step 3: Cross multiply
    15,737.44x = 21,727.68 × 9,777.92
  4. Step 4: Simplify right side
    15,737.44x = 212,451,516.83
  5. Step 5: Solve for x
    x = 212,451,516.83/15,737.44
  6. Step 6: Final answer
    x = 13,499.75

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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.