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Finding the Fourth Proportional to 21,833.53, 32,722.90 and 9,338.90

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Solution

The fourth proportional to 21,833.53, 32,722.90 and 9,338.90 is: 13,996.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,833.53 : 32,722.90 = 9,338.90 : x
  2. Step 2: Convert to fraction form
    21,833.53/32,722.90 = 9,338.90/x
  3. Step 3: Cross multiply
    21,833.53x = 32,722.90 × 9,338.90
  4. Step 4: Simplify right side
    21,833.53x = 305,595,703.85
  5. Step 5: Solve for x
    x = 305,595,703.85/21,833.53
  6. Step 6: Final answer
    x = 13,996.63

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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.