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Finding the Fourth Proportional to 14,802.27, 20,418.20 and 9,764.70

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Solution

The fourth proportional to 14,802.27, 20,418.20 and 9,764.70 is: 13,469.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,802.27 : 20,418.20 = 9,764.70 : x
  2. Step 2: Convert to fraction form
    14,802.27/20,418.20 = 9,764.70/x
  3. Step 3: Cross multiply
    14,802.27x = 20,418.20 × 9,764.70
  4. Step 4: Simplify right side
    14,802.27x = 199,377,548.72
  5. Step 5: Solve for x
    x = 199,377,548.72/14,802.27
  6. Step 6: Final answer
    x = 13,469.39

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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.