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Finding the Fourth Proportional to 22,462.68, 33,698.94 and 6,881.52

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Solution

The fourth proportional to 22,462.68, 33,698.94 and 6,881.52 is: 10,323.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,462.68 : 33,698.94 = 6,881.52 : x
  2. Step 2: Convert to fraction form
    22,462.68/33,698.94 = 6,881.52/x
  3. Step 3: Cross multiply
    22,462.68x = 33,698.94 × 6,881.52
  4. Step 4: Simplify right side
    22,462.68x = 231,899,929.59
  5. Step 5: Solve for x
    x = 231,899,929.59/22,462.68
  6. Step 6: Final answer
    x = 10,323.79

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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.