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Finding the Fourth Proportional to 17,758.50, 24,506.86 and 9,692.21

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Solution

The fourth proportional to 17,758.50, 24,506.86 and 9,692.21 is: 13,375.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,758.50 : 24,506.86 = 9,692.21 : x
  2. Step 2: Convert to fraction form
    17,758.50/24,506.86 = 9,692.21/x
  3. Step 3: Cross multiply
    17,758.50x = 24,506.86 × 9,692.21
  4. Step 4: Simplify right side
    17,758.50x = 237,525,633.56
  5. Step 5: Solve for x
    x = 237,525,633.56/17,758.50
  6. Step 6: Final answer
    x = 13,375.32

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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.