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Finding the Fourth Proportional to 17,537.76, 24,202.74 and 9,580.50

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Solution

The fourth proportional to 17,537.76, 24,202.74 and 9,580.50 is: 13,221.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,537.76 : 24,202.74 = 9,580.50 : x
  2. Step 2: Convert to fraction form
    17,537.76/24,202.74 = 9,580.50/x
  3. Step 3: Cross multiply
    17,537.76x = 24,202.74 × 9,580.50
  4. Step 4: Simplify right side
    17,537.76x = 231,874,350.57
  5. Step 5: Solve for x
    x = 231,874,350.57/17,537.76
  6. Step 6: Final answer
    x = 13,221.43

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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.