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Finding the Fourth Proportional to 20,136, 27,788.06 and 11,184.33

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Solution

The fourth proportional to 20,136, 27,788.06 and 11,184.33 is: 15,434.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,136 : 27,788.06 = 11,184.33 : x
  2. Step 2: Convert to fraction form
    20,136/27,788.06 = 11,184.33/x
  3. Step 3: Cross multiply
    20,136x = 27,788.06 × 11,184.33
  4. Step 4: Simplify right side
    20,136x = 310,790,777.18
  5. Step 5: Solve for x
    x = 310,790,777.18/20,136
  6. Step 6: Final answer
    x = 15,434.58

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