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Finding the Fourth Proportional to 24,544.56, 36,822.72 and 7,906.14

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Solution

The fourth proportional to 24,544.56, 36,822.72 and 7,906.14 is: 11,861.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,544.56 : 36,822.72 = 7,906.14 : x
  2. Step 2: Convert to fraction form
    24,544.56/36,822.72 = 7,906.14/x
  3. Step 3: Cross multiply
    24,544.56x = 36,822.72 × 7,906.14
  4. Step 4: Simplify right side
    24,544.56x = 291,125,579.50
  5. Step 5: Solve for x
    x = 291,125,579.50/24,544.56
  6. Step 6: Final answer
    x = 11,861.10

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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.