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Finding the Fourth Proportional to 24,798.14, 37,193.11 and 8,158.38

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Solution

The fourth proportional to 24,798.14, 37,193.11 and 8,158.38 is: 12,236.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,798.14 : 37,193.11 = 8,158.38 : x
  2. Step 2: Convert to fraction form
    24,798.14/37,193.11 = 8,158.38/x
  3. Step 3: Cross multiply
    24,798.14x = 37,193.11 × 8,158.38
  4. Step 4: Simplify right side
    24,798.14x = 303,435,504.37
  5. Step 5: Solve for x
    x = 303,435,504.37/24,798.14
  6. Step 6: Final answer
    x = 12,236.22

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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.