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Finding the Fourth Proportional to 14,772.66, 20,389.77 and 8,488.68

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Solution

The fourth proportional to 14,772.66, 20,389.77 and 8,488.68 is: 11,716.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,772.66 : 20,389.77 = 8,488.68 : x
  2. Step 2: Convert to fraction form
    14,772.66/20,389.77 = 8,488.68/x
  3. Step 3: Cross multiply
    14,772.66x = 20,389.77 × 8,488.68
  4. Step 4: Simplify right side
    14,772.66x = 173,082,232.80
  5. Step 5: Solve for x
    x = 173,082,232.80/14,772.66
  6. Step 6: Final answer
    x = 11,716.39

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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.