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Finding the Fourth Proportional to 17,692.50, 24,422.03 and 11,726.09

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Solution

The fourth proportional to 17,692.50, 24,422.03 and 11,726.09 is: 16,186.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,692.50 : 24,422.03 = 11,726.09 : x
  2. Step 2: Convert to fraction form
    17,692.50/24,422.03 = 11,726.09/x
  3. Step 3: Cross multiply
    17,692.50x = 24,422.03 × 11,726.09
  4. Step 4: Simplify right side
    17,692.50x = 286,374,978.24
  5. Step 5: Solve for x
    x = 286,374,978.24/17,692.50
  6. Step 6: Final answer
    x = 16,186.24

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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.