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Finding the Fourth Proportional to 16,147.76, 24,225.15 and 6,782.44

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Solution

The fourth proportional to 16,147.76, 24,225.15 and 6,782.44 is: 10,175.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,147.76 : 24,225.15 = 6,782.44 : x
  2. Step 2: Convert to fraction form
    16,147.76/24,225.15 = 6,782.44/x
  3. Step 3: Cross multiply
    16,147.76x = 24,225.15 × 6,782.44
  4. Step 4: Simplify right side
    16,147.76x = 164,305,505.24
  5. Step 5: Solve for x
    x = 164,305,505.24/16,147.76
  6. Step 6: Final answer
    x = 10,175.13

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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.