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Finding the Fourth Proportional to 24,794, 37,196.40 and 8,155.52

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Solution

The fourth proportional to 24,794, 37,196.40 and 8,155.52 is: 12,235.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,794 : 37,196.40 = 8,155.52 : x
  2. Step 2: Convert to fraction form
    24,794/37,196.40 = 8,155.52/x
  3. Step 3: Cross multiply
    24,794x = 37,196.40 × 8,155.52
  4. Step 4: Simplify right side
    24,794x = 303,355,984.13
  5. Step 5: Solve for x
    x = 303,355,984.13/24,794
  6. Step 6: Final answer
    x = 12,235.06

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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.