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Finding the Fourth Proportional to 22,513.20, 33,749.16 and 8,651.76

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Solution

The fourth proportional to 22,513.20, 33,749.16 and 8,651.76 is: 12,969.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,513.20 : 33,749.16 = 8,651.76 : x
  2. Step 2: Convert to fraction form
    22,513.20/33,749.16 = 8,651.76/x
  3. Step 3: Cross multiply
    22,513.20x = 33,749.16 × 8,651.76
  4. Step 4: Simplify right side
    22,513.20x = 291,989,632.52
  5. Step 5: Solve for x
    x = 291,989,632.52/22,513.20
  6. Step 6: Final answer
    x = 12,969.71

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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.