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Finding the Fourth Proportional to 24,576.98, 36,865.61 and 6,108.98

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Solution

The fourth proportional to 24,576.98, 36,865.61 and 6,108.98 is: 9,163.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,576.98 : 36,865.61 = 6,108.98 : x
  2. Step 2: Convert to fraction form
    24,576.98/36,865.61 = 6,108.98/x
  3. Step 3: Cross multiply
    24,576.98x = 36,865.61 × 6,108.98
  4. Step 4: Simplify right side
    24,576.98x = 225,211,445.01
  5. Step 5: Solve for x
    x = 225,211,445.01/24,576.98
  6. Step 6: Final answer
    x = 9,163.51

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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.