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Finding the Fourth Proportional to 20,106.72, 30,160.80 and 6,256.80

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Solution

The fourth proportional to 20,106.72, 30,160.80 and 6,256.80 is: 9,385.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,106.72 : 30,160.80 = 6,256.80 : x
  2. Step 2: Convert to fraction form
    20,106.72/30,160.80 = 6,256.80/x
  3. Step 3: Cross multiply
    20,106.72x = 30,160.80 × 6,256.80
  4. Step 4: Simplify right side
    20,106.72x = 188,710,093.44
  5. Step 5: Solve for x
    x = 188,710,093.44/20,106.72
  6. Step 6: Final answer
    x = 9,385.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.