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Finding the Fourth Proportional to 14,766.54, 20,377.38 and 8,393.83

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Solution

The fourth proportional to 14,766.54, 20,377.38 and 8,393.83 is: 11,583.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,766.54 : 20,377.38 = 8,393.83 : x
  2. Step 2: Convert to fraction form
    14,766.54/20,377.38 = 8,393.83/x
  3. Step 3: Cross multiply
    14,766.54x = 20,377.38 × 8,393.83
  4. Step 4: Simplify right side
    14,766.54x = 171,044,235.09
  5. Step 5: Solve for x
    x = 171,044,235.09/14,766.54
  6. Step 6: Final answer
    x = 11,583.23

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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.