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Finding the Fourth Proportional to 16,105.88, 24,135.96 and 6,735.80

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Solution

The fourth proportional to 16,105.88, 24,135.96 and 6,735.80 is: 10,094.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,105.88 : 24,135.96 = 6,735.80 : x
  2. Step 2: Convert to fraction form
    16,105.88/24,135.96 = 6,735.80/x
  3. Step 3: Cross multiply
    16,105.88x = 24,135.96 × 6,735.80
  4. Step 4: Simplify right side
    16,105.88x = 162,574,999.37
  5. Step 5: Solve for x
    x = 162,574,999.37/16,105.88
  6. Step 6: Final answer
    x = 10,094.14

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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.