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Finding the Fourth Proportional to 17,481.84, 24,125.16 and 9,524.40

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Solution

The fourth proportional to 17,481.84, 24,125.16 and 9,524.40 is: 13,143.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,481.84 : 24,125.16 = 9,524.40 : x
  2. Step 2: Convert to fraction form
    17,481.84/24,125.16 = 9,524.40/x
  3. Step 3: Cross multiply
    17,481.84x = 24,125.16 × 9,524.40
  4. Step 4: Simplify right side
    17,481.84x = 229,777,673.90
  5. Step 5: Solve for x
    x = 229,777,673.90/17,481.84
  6. Step 6: Final answer
    x = 13,143.79

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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.