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Finding the Fourth Proportional to 24,992.96, 37,483.97 and 7,464.15

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Solution

The fourth proportional to 24,992.96, 37,483.97 and 7,464.15 is: 11,194.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,992.96 : 37,483.97 = 7,464.15 : x
  2. Step 2: Convert to fraction form
    24,992.96/37,483.97 = 7,464.15/x
  3. Step 3: Cross multiply
    24,992.96x = 37,483.97 × 7,464.15
  4. Step 4: Simplify right side
    24,992.96x = 279,785,937.35
  5. Step 5: Solve for x
    x = 279,785,937.35/24,992.96
  6. Step 6: Final answer
    x = 11,194.59

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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.