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Finding the Fourth Proportional to 15,760, 23,644.05 and 5,899.42

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Solution

The fourth proportional to 15,760, 23,644.05 and 5,899.42 is: 8,850.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,760 : 23,644.05 = 5,899.42 : x
  2. Step 2: Convert to fraction form
    15,760/23,644.05 = 5,899.42/x
  3. Step 3: Cross multiply
    15,760x = 23,644.05 × 5,899.42
  4. Step 4: Simplify right side
    15,760x = 139,486,181.45
  5. Step 5: Solve for x
    x = 139,486,181.45/15,760
  6. Step 6: Final answer
    x = 8,850.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.