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Finding the Fourth Proportional to 11,105.20, 16,657.80 and 9,434.80

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Solution

The fourth proportional to 11,105.20, 16,657.80 and 9,434.80 is: 14,152.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,105.20 : 16,657.80 = 9,434.80 : x
  2. Step 2: Convert to fraction form
    11,105.20/16,657.80 = 9,434.80/x
  3. Step 3: Cross multiply
    11,105.20x = 16,657.80 × 9,434.80
  4. Step 4: Simplify right side
    11,105.20x = 157,163,011.44
  5. Step 5: Solve for x
    x = 157,163,011.44/11,105.20
  6. Step 6: Final answer
    x = 14,152.20

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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.