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Finding the Fourth Proportional to 22,468.40, 33,696.81 and 6,669.68

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Solution

The fourth proportional to 22,468.40, 33,696.81 and 6,669.68 is: 10,002.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,468.40 : 33,696.81 = 6,669.68 : x
  2. Step 2: Convert to fraction form
    22,468.40/33,696.81 = 6,669.68/x
  3. Step 3: Cross multiply
    22,468.40x = 33,696.81 × 6,669.68
  4. Step 4: Simplify right side
    22,468.40x = 224,747,055.55
  5. Step 5: Solve for x
    x = 224,747,055.55/22,468.40
  6. Step 6: Final answer
    x = 10,002.81

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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.