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Finding the Fourth Proportional to 22,825.64, 34,231.92 and 8,784.68

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Solution

The fourth proportional to 22,825.64, 34,231.92 and 8,784.68 is: 13,174.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,825.64 : 34,231.92 = 8,784.68 : x
  2. Step 2: Convert to fraction form
    22,825.64/34,231.92 = 8,784.68/x
  3. Step 3: Cross multiply
    22,825.64x = 34,231.92 × 8,784.68
  4. Step 4: Simplify right side
    22,825.64x = 300,716,462.99
  5. Step 5: Solve for x
    x = 300,716,462.99/22,825.64
  6. Step 6: Final answer
    x = 13,174.50

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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.