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Finding the Fourth Proportional to 17,537.85, 24,201.96 and 9,579.92

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Solution

The fourth proportional to 17,537.85, 24,201.96 and 9,579.92 is: 13,220.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,537.85 : 24,201.96 = 9,579.92 : x
  2. Step 2: Convert to fraction form
    17,537.85/24,201.96 = 9,579.92/x
  3. Step 3: Cross multiply
    17,537.85x = 24,201.96 × 9,579.92
  4. Step 4: Simplify right side
    17,537.85x = 231,852,719.63
  5. Step 5: Solve for x
    x = 231,852,719.63/17,537.85
  6. Step 6: Final answer
    x = 13,220.13

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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.