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Finding the Fourth Proportional to 15,823.80, 23,737.05 and 4,137

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Solution

The fourth proportional to 15,823.80, 23,737.05 and 4,137 is: 6,205.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,823.80 : 23,737.05 = 4,137 : x
  2. Step 2: Convert to fraction form
    15,823.80/23,737.05 = 4,137/x
  3. Step 3: Cross multiply
    15,823.80x = 23,737.05 × 4,137
  4. Step 4: Simplify right side
    15,823.80x = 98,200,175.85
  5. Step 5: Solve for x
    x = 98,200,175.85/15,823.80
  6. Step 6: Final answer
    x = 6,205.85

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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.