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Finding the Fourth Proportional to 14,136.86, 21,202.68 and 5,369.66

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Solution

The fourth proportional to 14,136.86, 21,202.68 and 5,369.66 is: 8,053.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,136.86 : 21,202.68 = 5,369.66 : x
  2. Step 2: Convert to fraction form
    14,136.86/21,202.68 = 5,369.66/x
  3. Step 3: Cross multiply
    14,136.86x = 21,202.68 × 5,369.66
  4. Step 4: Simplify right side
    14,136.86x = 113,851,182.69
  5. Step 5: Solve for x
    x = 113,851,182.69/14,136.86
  6. Step 6: Final answer
    x = 8,053.50

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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.