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Finding the Fourth Proportional to 17,757.92, 24,506.72 and 9,800.16

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Solution

The fourth proportional to 17,757.92, 24,506.72 and 9,800.16 is: 13,524.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,757.92 : 24,506.72 = 9,800.16 : x
  2. Step 2: Convert to fraction form
    17,757.92/24,506.72 = 9,800.16/x
  3. Step 3: Cross multiply
    17,757.92x = 24,506.72 × 9,800.16
  4. Step 4: Simplify right side
    17,757.92x = 240,169,777.08
  5. Step 5: Solve for x
    x = 240,169,777.08/17,757.92
  6. Step 6: Final answer
    x = 13,524.66

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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.