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Finding the Fourth Proportional to 24,992.82, 37,507.68 and 11,845.22

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Solution

The fourth proportional to 24,992.82, 37,507.68 and 11,845.22 is: 17,776.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,992.82 : 37,507.68 = 11,845.22 : x
  2. Step 2: Convert to fraction form
    24,992.82/37,507.68 = 11,845.22/x
  3. Step 3: Cross multiply
    24,992.82x = 37,507.68 × 11,845.22
  4. Step 4: Simplify right side
    24,992.82x = 444,286,533.75
  5. Step 5: Solve for x
    x = 444,286,533.75/24,992.82
  6. Step 6: Final answer
    x = 17,776.57

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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.