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Finding the Fourth Proportional to 17,537.22, 24,201.06 and 9,579.24

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Solution

The fourth proportional to 17,537.22, 24,201.06 and 9,579.24 is: 13,219.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,537.22 : 24,201.06 = 9,579.24 : x
  2. Step 2: Convert to fraction form
    17,537.22/24,201.06 = 9,579.24/x
  3. Step 3: Cross multiply
    17,537.22x = 24,201.06 × 9,579.24
  4. Step 4: Simplify right side
    17,537.22x = 231,827,761.99
  5. Step 5: Solve for x
    x = 231,827,761.99/17,537.22
  6. Step 6: Final answer
    x = 13,219.19

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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.