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Finding the Fourth Proportional to 18,102.41, 27,136.59 and 9,769.94

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Solution

The fourth proportional to 18,102.41, 27,136.59 and 9,769.94 is: 14,645.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,102.41 : 27,136.59 = 9,769.94 : x
  2. Step 2: Convert to fraction form
    18,102.41/27,136.59 = 9,769.94/x
  3. Step 3: Cross multiply
    18,102.41x = 27,136.59 × 9,769.94
  4. Step 4: Simplify right side
    18,102.41x = 265,122,720.42
  5. Step 5: Solve for x
    x = 265,122,720.42/18,102.41
  6. Step 6: Final answer
    x = 14,645.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.