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Finding the Fourth Proportional to 13,737.73, 20,607.46 and 3,877.77

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Solution

The fourth proportional to 13,737.73, 20,607.46 and 3,877.77 is: 5,816.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,737.73 : 20,607.46 = 3,877.77 : x
  2. Step 2: Convert to fraction form
    13,737.73/20,607.46 = 3,877.77/x
  3. Step 3: Cross multiply
    13,737.73x = 20,607.46 × 3,877.77
  4. Step 4: Simplify right side
    13,737.73x = 79,911,079.56
  5. Step 5: Solve for x
    x = 79,911,079.56/13,737.73
  6. Step 6: Final answer
    x = 5,816.91

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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.