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Finding the Fourth Proportional to 17,692.56, 24,415.56 and 9,734.80

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Solution

The fourth proportional to 17,692.56, 24,415.56 and 9,734.80 is: 13,433.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,692.56 : 24,415.56 = 9,734.80 : x
  2. Step 2: Convert to fraction form
    17,692.56/24,415.56 = 9,734.80/x
  3. Step 3: Cross multiply
    17,692.56x = 24,415.56 × 9,734.80
  4. Step 4: Simplify right side
    17,692.56x = 237,680,593.49
  5. Step 5: Solve for x
    x = 237,680,593.49/17,692.56
  6. Step 6: Final answer
    x = 13,433.93

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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.