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Finding the Fourth Proportional to 17,057.31, 25,583.86 and 4,578.31

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Solution

The fourth proportional to 17,057.31, 25,583.86 and 4,578.31 is: 6,866.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,057.31 : 25,583.86 = 4,578.31 : x
  2. Step 2: Convert to fraction form
    17,057.31/25,583.86 = 4,578.31/x
  3. Step 3: Cross multiply
    17,057.31x = 25,583.86 × 4,578.31
  4. Step 4: Simplify right side
    17,057.31x = 117,130,842.08
  5. Step 5: Solve for x
    x = 117,130,842.08/17,057.31
  6. Step 6: Final answer
    x = 6,866.90

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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.