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Finding the Fourth Proportional to 24,520.14, 33,840.86 and 13,913.19

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Solution

The fourth proportional to 24,520.14, 33,840.86 and 13,913.19 is: 19,201.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,520.14 : 33,840.86 = 13,913.19 : x
  2. Step 2: Convert to fraction form
    24,520.14/33,840.86 = 13,913.19/x
  3. Step 3: Cross multiply
    24,520.14x = 33,840.86 × 13,913.19
  4. Step 4: Simplify right side
    24,520.14x = 470,834,245.38
  5. Step 5: Solve for x
    x = 470,834,245.38/24,520.14
  6. Step 6: Final answer
    x = 19,201.94

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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.