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Finding the Fourth Proportional to 24,978.70, 34,469.60 and 13,647.91

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Solution

The fourth proportional to 24,978.70, 34,469.60 and 13,647.91 is: 18,833.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,978.70 : 34,469.60 = 13,647.91 : x
  2. Step 2: Convert to fraction form
    24,978.70/34,469.60 = 13,647.91/x
  3. Step 3: Cross multiply
    24,978.70x = 34,469.60 × 13,647.91
  4. Step 4: Simplify right side
    24,978.70x = 470,437,844.12
  5. Step 5: Solve for x
    x = 470,437,844.12/24,978.70
  6. Step 6: Final answer
    x = 18,833.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.