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Finding the Fourth Proportional to 17,650.02, 24,357.04 and 9,692.64

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Solution

The fourth proportional to 17,650.02, 24,357.04 and 9,692.64 is: 13,375.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,650.02 : 24,357.04 = 9,692.64 : x
  2. Step 2: Convert to fraction form
    17,650.02/24,357.04 = 9,692.64/x
  3. Step 3: Cross multiply
    17,650.02x = 24,357.04 × 9,692.64
  4. Step 4: Simplify right side
    17,650.02x = 236,084,020.19
  5. Step 5: Solve for x
    x = 236,084,020.19/17,650.02
  6. Step 6: Final answer
    x = 13,375.85

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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.