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Finding the Fourth Proportional to 15,052.69, 20,772.34 and 8,338.20

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Solution

The fourth proportional to 15,052.69, 20,772.34 and 8,338.20 is: 11,506.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,052.69 : 20,772.34 = 8,338.20 : x
  2. Step 2: Convert to fraction form
    15,052.69/20,772.34 = 8,338.20/x
  3. Step 3: Cross multiply
    15,052.69x = 20,772.34 × 8,338.20
  4. Step 4: Simplify right side
    15,052.69x = 173,203,925.39
  5. Step 5: Solve for x
    x = 173,203,925.39/15,052.69
  6. Step 6: Final answer
    x = 11,506.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.