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Finding the Fourth Proportional to 17,692.64, 24,405.70 and 11,057.12

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Solution

The fourth proportional to 17,692.64, 24,405.70 and 11,057.12 is: 15,252.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,692.64 : 24,405.70 = 11,057.12 : x
  2. Step 2: Convert to fraction form
    17,692.64/24,405.70 = 11,057.12/x
  3. Step 3: Cross multiply
    17,692.64x = 24,405.70 × 11,057.12
  4. Step 4: Simplify right side
    17,692.64x = 269,856,753.58
  5. Step 5: Solve for x
    x = 269,856,753.58/17,692.64
  6. Step 6: Final answer
    x = 15,252.49

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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.