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Finding the Fourth Proportional to 23,158.14, 34,737.22 and 5,627.85

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Solution

The fourth proportional to 23,158.14, 34,737.22 and 5,627.85 is: 8,441.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,158.14 : 34,737.22 = 5,627.85 : x
  2. Step 2: Convert to fraction form
    23,158.14/34,737.22 = 5,627.85/x
  3. Step 3: Cross multiply
    23,158.14x = 34,737.22 × 5,627.85
  4. Step 4: Simplify right side
    23,158.14x = 195,495,740.35
  5. Step 5: Solve for x
    x = 195,495,740.35/23,158.14
  6. Step 6: Final answer
    x = 8,441.77

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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.