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Finding the Fourth Proportional to 24,652.52, 36,979.06 and 7,122.50

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Solution

The fourth proportional to 24,652.52, 36,979.06 and 7,122.50 is: 10,683.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,652.52 : 36,979.06 = 7,122.50 : x
  2. Step 2: Convert to fraction form
    24,652.52/36,979.06 = 7,122.50/x
  3. Step 3: Cross multiply
    24,652.52x = 36,979.06 × 7,122.50
  4. Step 4: Simplify right side
    24,652.52x = 263,383,354.85
  5. Step 5: Solve for x
    x = 263,383,354.85/24,652.52
  6. Step 6: Final answer
    x = 10,683.83

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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.