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Finding the Fourth Proportional to 16,136, 24,186.72 and 6,773.68

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Solution

The fourth proportional to 16,136, 24,186.72 and 6,773.68 is: 10,153.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,136 : 24,186.72 = 6,773.68 : x
  2. Step 2: Convert to fraction form
    16,136/24,186.72 = 6,773.68/x
  3. Step 3: Cross multiply
    16,136x = 24,186.72 × 6,773.68
  4. Step 4: Simplify right side
    16,136x = 163,833,101.53
  5. Step 5: Solve for x
    x = 163,833,101.53/16,136
  6. Step 6: Final answer
    x = 10,153.27

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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.