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Finding the Fourth Proportional to 16,093.76, 24,136.98 and 5,705.52

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Solution

The fourth proportional to 16,093.76, 24,136.98 and 5,705.52 is: 8,556.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,093.76 : 24,136.98 = 5,705.52 : x
  2. Step 2: Convert to fraction form
    16,093.76/24,136.98 = 5,705.52/x
  3. Step 3: Cross multiply
    16,093.76x = 24,136.98 × 5,705.52
  4. Step 4: Simplify right side
    16,093.76x = 137,714,022.13
  5. Step 5: Solve for x
    x = 137,714,022.13/16,093.76
  6. Step 6: Final answer
    x = 8,556.98

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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.