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Finding the Fourth Proportional to 17,757.99, 24,506.82 and 10,206.77

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Solution

The fourth proportional to 17,757.99, 24,506.82 and 10,206.77 is: 14,085.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,757.99 : 24,506.82 = 10,206.77 : x
  2. Step 2: Convert to fraction form
    17,757.99/24,506.82 = 10,206.77/x
  3. Step 3: Cross multiply
    17,757.99x = 24,506.82 × 10,206.77
  4. Step 4: Simplify right side
    17,757.99x = 250,135,352.64
  5. Step 5: Solve for x
    x = 250,135,352.64/17,757.99
  6. Step 6: Final answer
    x = 14,085.79

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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.