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Finding the Fourth Proportional to 17,757.15, 24,506.07 and 10,205.94

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Solution

The fourth proportional to 17,757.15, 24,506.07 and 10,205.94 is: 14,084.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,757.15 : 24,506.07 = 10,205.94 : x
  2. Step 2: Convert to fraction form
    17,757.15/24,506.07 = 10,205.94/x
  3. Step 3: Cross multiply
    17,757.15x = 24,506.07 × 10,205.94
  4. Step 4: Simplify right side
    17,757.15x = 250,107,480.06
  5. Step 5: Solve for x
    x = 250,107,480.06/17,757.15
  6. Step 6: Final answer
    x = 14,084.89

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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.