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Finding the Fourth Proportional to 22,559.31, 33,838.83 and 9,229.48

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Solution

The fourth proportional to 22,559.31, 33,838.83 and 9,229.48 is: 13,844.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,559.31 : 33,838.83 = 9,229.48 : x
  2. Step 2: Convert to fraction form
    22,559.31/33,838.83 = 9,229.48/x
  3. Step 3: Cross multiply
    22,559.31x = 33,838.83 × 9,229.48
  4. Step 4: Simplify right side
    22,559.31x = 312,314,720.11
  5. Step 5: Solve for x
    x = 312,314,720.11/22,559.31
  6. Step 6: Final answer
    x = 13,844.16

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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.