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Finding the Fourth Proportional to 15,898.10, 23,847.15 and 8,122.10

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Solution

The fourth proportional to 15,898.10, 23,847.15 and 8,122.10 is: 12,183.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,898.10 : 23,847.15 = 8,122.10 : x
  2. Step 2: Convert to fraction form
    15,898.10/23,847.15 = 8,122.10/x
  3. Step 3: Cross multiply
    15,898.10x = 23,847.15 × 8,122.10
  4. Step 4: Simplify right side
    15,898.10x = 193,688,937.02
  5. Step 5: Solve for x
    x = 193,688,937.02/15,898.10
  6. Step 6: Final answer
    x = 12,183.15

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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.