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Finding the Fourth Proportional to 16,886.80, 25,333.80 and 5,201.20

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Solution

The fourth proportional to 16,886.80, 25,333.80 and 5,201.20 is: 7,802.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,886.80 : 25,333.80 = 5,201.20 : x
  2. Step 2: Convert to fraction form
    16,886.80/25,333.80 = 5,201.20/x
  3. Step 3: Cross multiply
    16,886.80x = 25,333.80 × 5,201.20
  4. Step 4: Simplify right side
    16,886.80x = 131,766,160.56
  5. Step 5: Solve for x
    x = 131,766,160.56/16,886.80
  6. Step 6: Final answer
    x = 7,802.91

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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.