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Finding the Fourth Proportional to 22,477.44, 33,719.81 and 8,438.57

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Solution

The fourth proportional to 22,477.44, 33,719.81 and 8,438.57 is: 12,659.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,477.44 : 33,719.81 = 8,438.57 : x
  2. Step 2: Convert to fraction form
    22,477.44/33,719.81 = 8,438.57/x
  3. Step 3: Cross multiply
    22,477.44x = 33,719.81 × 8,438.57
  4. Step 4: Simplify right side
    22,477.44x = 284,546,977.07
  5. Step 5: Solve for x
    x = 284,546,977.07/22,477.44
  6. Step 6: Final answer
    x = 12,659.23

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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.