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Finding the Fourth Proportional to 22,538.16, 33,807.24 and 8,494.38

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Solution

The fourth proportional to 22,538.16, 33,807.24 and 8,494.38 is: 12,741.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,538.16 : 33,807.24 = 8,494.38 : x
  2. Step 2: Convert to fraction form
    22,538.16/33,807.24 = 8,494.38/x
  3. Step 3: Cross multiply
    22,538.16x = 33,807.24 × 8,494.38
  4. Step 4: Simplify right side
    22,538.16x = 287,171,543.31
  5. Step 5: Solve for x
    x = 287,171,543.31/22,538.16
  6. Step 6: Final answer
    x = 12,741.57

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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.