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Finding the Fourth Proportional to 21,912.70, 32,851.05 and 9,442.30

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Solution

The fourth proportional to 21,912.70, 32,851.05 and 9,442.30 is: 14,155.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,912.70 : 32,851.05 = 9,442.30 : x
  2. Step 2: Convert to fraction form
    21,912.70/32,851.05 = 9,442.30/x
  3. Step 3: Cross multiply
    21,912.70x = 32,851.05 × 9,442.30
  4. Step 4: Simplify right side
    21,912.70x = 310,189,469.42
  5. Step 5: Solve for x
    x = 310,189,469.42/21,912.70
  6. Step 6: Final answer
    x = 14,155.69

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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.