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Finding the Fourth Proportional to 17,692.94, 26,526.53 and 8,327.75

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Solution

The fourth proportional to 17,692.94, 26,526.53 and 8,327.75 is: 12,485.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,692.94 : 26,526.53 = 8,327.75 : x
  2. Step 2: Convert to fraction form
    17,692.94/26,526.53 = 8,327.75/x
  3. Step 3: Cross multiply
    17,692.94x = 26,526.53 × 8,327.75
  4. Step 4: Simplify right side
    17,692.94x = 220,906,398.79
  5. Step 5: Solve for x
    x = 220,906,398.79/17,692.94
  6. Step 6: Final answer
    x = 12,485.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.