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Finding the Fourth Proportional to 14,764.92, 20,375.46 and 8,477.34

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Solution

The fourth proportional to 14,764.92, 20,375.46 and 8,477.34 is: 11,698.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,764.92 : 20,375.46 = 8,477.34 : x
  2. Step 2: Convert to fraction form
    14,764.92/20,375.46 = 8,477.34/x
  3. Step 3: Cross multiply
    14,764.92x = 20,375.46 × 8,477.34
  4. Step 4: Simplify right side
    14,764.92x = 172,729,702.08
  5. Step 5: Solve for x
    x = 172,729,702.08/14,764.92
  6. Step 6: Final answer
    x = 11,698.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.