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Finding the Fourth Proportional to 12,617.10, 18,922.01 and 4,824.09

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Solution

The fourth proportional to 12,617.10, 18,922.01 and 4,824.09 is: 7,234.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,617.10 : 18,922.01 = 4,824.09 : x
  2. Step 2: Convert to fraction form
    12,617.10/18,922.01 = 4,824.09/x
  3. Step 3: Cross multiply
    12,617.10x = 18,922.01 × 4,824.09
  4. Step 4: Simplify right side
    12,617.10x = 91,281,455.10
  5. Step 5: Solve for x
    x = 91,281,455.10/12,617.10
  6. Step 6: Final answer
    x = 7,234.74

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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.