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Finding the Fourth Proportional to 17,865.26, 24,654.93 and 9,907.52

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Solution

The fourth proportional to 17,865.26, 24,654.93 and 9,907.52 is: 13,672.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,865.26 : 24,654.93 = 9,907.52 : x
  2. Step 2: Convert to fraction form
    17,865.26/24,654.93 = 9,907.52/x
  3. Step 3: Cross multiply
    17,865.26x = 24,654.93 × 9,907.52
  4. Step 4: Simplify right side
    17,865.26x = 244,269,107.38
  5. Step 5: Solve for x
    x = 244,269,107.38/17,865.26
  6. Step 6: Final answer
    x = 13,672.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.