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Finding the Fourth Proportional to 16,448.96, 24,672.48 and 4,136

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Solution

The fourth proportional to 16,448.96, 24,672.48 and 4,136 is: 6,203.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,448.96 : 24,672.48 = 4,136 : x
  2. Step 2: Convert to fraction form
    16,448.96/24,672.48 = 4,136/x
  3. Step 3: Cross multiply
    16,448.96x = 24,672.48 × 4,136
  4. Step 4: Simplify right side
    16,448.96x = 102,045,377.28
  5. Step 5: Solve for x
    x = 102,045,377.28/16,448.96
  6. Step 6: Final answer
    x = 6,203.76

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Why These Related Problems?

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