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Finding the Fourth Proportional to 17,202.59, 25,802.80 and 6,107.82

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Solution

The fourth proportional to 17,202.59, 25,802.80 and 6,107.82 is: 9,161.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,202.59 : 25,802.80 = 6,107.82 : x
  2. Step 2: Convert to fraction form
    17,202.59/25,802.80 = 6,107.82/x
  3. Step 3: Cross multiply
    17,202.59x = 25,802.80 × 6,107.82
  4. Step 4: Simplify right side
    17,202.59x = 157,598,842.63
  5. Step 5: Solve for x
    x = 157,598,842.63/17,202.59
  6. Step 6: Final answer
    x = 9,161.34

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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.