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Finding the Fourth Proportional to 15,898.39, 23,847.57 and 4,211.62

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Solution

The fourth proportional to 15,898.39, 23,847.57 and 4,211.62 is: 6,317.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,898.39 : 23,847.57 = 4,211.62 : x
  2. Step 2: Convert to fraction form
    15,898.39/23,847.57 = 4,211.62/x
  3. Step 3: Cross multiply
    15,898.39x = 23,847.57 × 4,211.62
  4. Step 4: Simplify right side
    15,898.39x = 100,436,902.76
  5. Step 5: Solve for x
    x = 100,436,902.76/15,898.39
  6. Step 6: Final answer
    x = 6,317.43

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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.