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Finding the Fourth Proportional to 14,144, 21,199.86 and 6,737.96

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Solution

The fourth proportional to 14,144, 21,199.86 and 6,737.96 is: 10,099.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,144 : 21,199.86 = 6,737.96 : x
  2. Step 2: Convert to fraction form
    14,144/21,199.86 = 6,737.96/x
  3. Step 3: Cross multiply
    14,144x = 21,199.86 × 6,737.96
  4. Step 4: Simplify right side
    14,144x = 142,843,808.69
  5. Step 5: Solve for x
    x = 142,843,808.69/14,144
  6. Step 6: Final answer
    x = 10,099.25

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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.