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Finding the Fourth Proportional to 17,537.23, 24,201.98 and 9,580.06

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Solution

The fourth proportional to 17,537.23, 24,201.98 and 9,580.06 is: 13,220.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,537.23 : 24,201.98 = 9,580.06 : x
  2. Step 2: Convert to fraction form
    17,537.23/24,201.98 = 9,580.06/x
  3. Step 3: Cross multiply
    17,537.23x = 24,201.98 × 9,580.06
  4. Step 4: Simplify right side
    17,537.23x = 231,856,420.52
  5. Step 5: Solve for x
    x = 231,856,420.52/17,537.23
  6. Step 6: Final answer
    x = 13,220.81

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1.5x scale

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.