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Finding the Fourth Proportional to 12,493.50, 18,739.62 and 4,174.38

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Solution

The fourth proportional to 12,493.50, 18,739.62 and 4,174.38 is: 6,261.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,493.50 : 18,739.62 = 4,174.38 : x
  2. Step 2: Convert to fraction form
    12,493.50/18,739.62 = 4,174.38/x
  3. Step 3: Cross multiply
    12,493.50x = 18,739.62 × 4,174.38
  4. Step 4: Simplify right side
    12,493.50x = 78,226,294.94
  5. Step 5: Solve for x
    x = 78,226,294.94/12,493.50
  6. Step 6: Final answer
    x = 6,261.36

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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.