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Finding the Fourth Proportional to 14,768.23, 20,377.69 and 8,481.01

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Solution

The fourth proportional to 14,768.23, 20,377.69 and 8,481.01 is: 11,702.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,768.23 : 20,377.69 = 8,481.01 : x
  2. Step 2: Convert to fraction form
    14,768.23/20,377.69 = 8,481.01/x
  3. Step 3: Cross multiply
    14,768.23x = 20,377.69 × 8,481.01
  4. Step 4: Simplify right side
    14,768.23x = 172,823,392.67
  5. Step 5: Solve for x
    x = 172,823,392.67/14,768.23
  6. Step 6: Final answer
    x = 11,702.38

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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.