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Finding the Fourth Proportional to 24,562.50, 36,843.81 and 6,094.50

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Solution

The fourth proportional to 24,562.50, 36,843.81 and 6,094.50 is: 9,141.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,562.50 : 36,843.81 = 6,094.50 : x
  2. Step 2: Convert to fraction form
    24,562.50/36,843.81 = 6,094.50/x
  3. Step 3: Cross multiply
    24,562.50x = 36,843.81 × 6,094.50
  4. Step 4: Simplify right side
    24,562.50x = 224,544,600.05
  5. Step 5: Solve for x
    x = 224,544,600.05/24,562.50
  6. Step 6: Final answer
    x = 9,141.76

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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.