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Finding the Fourth Proportional to 24,749.25, 37,130.76 and 8,120.97

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Solution

The fourth proportional to 24,749.25, 37,130.76 and 8,120.97 is: 12,183.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,749.25 : 37,130.76 = 8,120.97 : x
  2. Step 2: Convert to fraction form
    24,749.25/37,130.76 = 8,120.97/x
  3. Step 3: Cross multiply
    24,749.25x = 37,130.76 × 8,120.97
  4. Step 4: Simplify right side
    24,749.25x = 301,537,788.04
  5. Step 5: Solve for x
    x = 301,537,788.04/24,749.25
  6. Step 6: Final answer
    x = 12,183.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.