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Finding the Fourth Proportional to 16,692.50, 23,035.46 and 9,138.74

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Solution

The fourth proportional to 16,692.50, 23,035.46 and 9,138.74 is: 12,611.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,692.50 : 23,035.46 = 9,138.74 : x
  2. Step 2: Convert to fraction form
    16,692.50/23,035.46 = 9,138.74/x
  3. Step 3: Cross multiply
    16,692.50x = 23,035.46 × 9,138.74
  4. Step 4: Simplify right side
    16,692.50x = 210,515,079.72
  5. Step 5: Solve for x
    x = 210,515,079.72/16,692.50
  6. Step 6: Final answer
    x = 12,611.36

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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.