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Finding the Fourth Proportional to 21,692.91, 32,516.07 and 9,202.39

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Solution

The fourth proportional to 21,692.91, 32,516.07 and 9,202.39 is: 13,793.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,692.91 : 32,516.07 = 9,202.39 : x
  2. Step 2: Convert to fraction form
    21,692.91/32,516.07 = 9,202.39/x
  3. Step 3: Cross multiply
    21,692.91x = 32,516.07 × 9,202.39
  4. Step 4: Simplify right side
    21,692.91x = 299,225,557.41
  5. Step 5: Solve for x
    x = 299,225,557.41/21,692.91
  6. Step 6: Final answer
    x = 13,793.71

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1.5x scale

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.