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Finding the Fourth Proportional to 22,692.66, 31,307.13 and 16,738.44

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Solution

The fourth proportional to 22,692.66, 31,307.13 and 16,738.44 is: 23,092.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,692.66 : 31,307.13 = 16,738.44 : x
  2. Step 2: Convert to fraction form
    22,692.66/31,307.13 = 16,738.44/x
  3. Step 3: Cross multiply
    22,692.66x = 31,307.13 × 16,738.44
  4. Step 4: Simplify right side
    22,692.66x = 524,032,517.08
  5. Step 5: Solve for x
    x = 524,032,517.08/22,692.66
  6. Step 6: Final answer
    x = 23,092.60

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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.