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Finding the Fourth Proportional to 17,302.75, 25,935.67 and 7,442.80

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Solution

The fourth proportional to 17,302.75, 25,935.67 and 7,442.80 is: 11,156.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,302.75 : 25,935.67 = 7,442.80 : x
  2. Step 2: Convert to fraction form
    17,302.75/25,935.67 = 7,442.80/x
  3. Step 3: Cross multiply
    17,302.75x = 25,935.67 × 7,442.80
  4. Step 4: Simplify right side
    17,302.75x = 193,034,004.68
  5. Step 5: Solve for x
    x = 193,034,004.68/17,302.75
  6. Step 6: Final answer
    x = 11,156.26

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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.