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Finding the Fourth Proportional to 22,465.80, 33,698.80 and 5,824.66

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Solution

The fourth proportional to 22,465.80, 33,698.80 and 5,824.66 is: 8,737.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,465.80 : 33,698.80 = 5,824.66 : x
  2. Step 2: Convert to fraction form
    22,465.80/33,698.80 = 5,824.66/x
  3. Step 3: Cross multiply
    22,465.80x = 33,698.80 × 5,824.66
  4. Step 4: Simplify right side
    22,465.80x = 196,284,052.41
  5. Step 5: Solve for x
    x = 196,284,052.41/22,465.80
  6. Step 6: Final answer
    x = 8,737.02

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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.