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Finding the Fourth Proportional to 22,484.94, 33,721.53 and 6,685.71

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Solution

The fourth proportional to 22,484.94, 33,721.53 and 6,685.71 is: 10,026.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,484.94 : 33,721.53 = 6,685.71 : x
  2. Step 2: Convert to fraction form
    22,484.94/33,721.53 = 6,685.71/x
  3. Step 3: Cross multiply
    22,484.94x = 33,721.53 × 6,685.71
  4. Step 4: Simplify right side
    22,484.94x = 225,452,540.94
  5. Step 5: Solve for x
    x = 225,452,540.94/22,484.94
  6. Step 6: Final answer
    x = 10,026.82

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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.