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Finding the Fourth Proportional to 17,202.80, 25,787.19 and 8,301.71

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Solution

The fourth proportional to 17,202.80, 25,787.19 and 8,301.71 is: 12,444.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,202.80 : 25,787.19 = 8,301.71 : x
  2. Step 2: Convert to fraction form
    17,202.80/25,787.19 = 8,301.71/x
  3. Step 3: Cross multiply
    17,202.80x = 25,787.19 × 8,301.71
  4. Step 4: Simplify right side
    17,202.80x = 214,077,773.09
  5. Step 5: Solve for x
    x = 214,077,773.09/17,202.80
  6. Step 6: Final answer
    x = 12,444.36

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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.