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Finding the Fourth Proportional to 22,509.70, 33,774.44 and 11,977.24

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Solution

The fourth proportional to 22,509.70, 33,774.44 and 11,977.24 is: 17,971.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,509.70 : 33,774.44 = 11,977.24 : x
  2. Step 2: Convert to fraction form
    22,509.70/33,774.44 = 11,977.24/x
  3. Step 3: Cross multiply
    22,509.70x = 33,774.44 × 11,977.24
  4. Step 4: Simplify right side
    22,509.70x = 404,524,573.75
  5. Step 5: Solve for x
    x = 404,524,573.75/22,509.70
  6. Step 6: Final answer
    x = 17,971.12

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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.