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Finding the Fourth Proportional to 19,635.68, 27,096 and 11,136.80

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Solution

The fourth proportional to 19,635.68, 27,096 and 11,136.80 is: 15,368.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,635.68 : 27,096 = 11,136.80 : x
  2. Step 2: Convert to fraction form
    19,635.68/27,096 = 11,136.80/x
  3. Step 3: Cross multiply
    19,635.68x = 27,096 × 11,136.80
  4. Step 4: Simplify right side
    19,635.68x = 301,762,732.80
  5. Step 5: Solve for x
    x = 301,762,732.80/19,635.68
  6. Step 6: Final answer
    x = 15,368.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.