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Finding the Fourth Proportional to 22,965.42, 34,441.22 and 8,172.38

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Solution

The fourth proportional to 22,965.42, 34,441.22 and 8,172.38 is: 12,256.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,965.42 : 34,441.22 = 8,172.38 : x
  2. Step 2: Convert to fraction form
    22,965.42/34,441.22 = 8,172.38/x
  3. Step 3: Cross multiply
    22,965.42x = 34,441.22 × 8,172.38
  4. Step 4: Simplify right side
    22,965.42x = 281,466,737.50
  5. Step 5: Solve for x
    x = 281,466,737.50/22,965.42
  6. Step 6: Final answer
    x = 12,256.11

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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.