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Finding the Fourth Proportional to 15,982.44, 23,978.52 and 5,591.76

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Solution

The fourth proportional to 15,982.44, 23,978.52 and 5,591.76 is: 8,389.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,982.44 : 23,978.52 = 5,591.76 : x
  2. Step 2: Convert to fraction form
    15,982.44/23,978.52 = 5,591.76/x
  3. Step 3: Cross multiply
    15,982.44x = 23,978.52 × 5,591.76
  4. Step 4: Simplify right side
    15,982.44x = 134,082,129.00
  5. Step 5: Solve for x
    x = 134,082,129.00/15,982.44
  6. Step 6: Final answer
    x = 8,389.34

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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.