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Finding the Fourth Proportional to 12,136.83, 18,199.57 and 8,462.67

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Solution

The fourth proportional to 12,136.83, 18,199.57 and 8,462.67 is: 12,690.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,136.83 : 18,199.57 = 8,462.67 : x
  2. Step 2: Convert to fraction form
    12,136.83/18,199.57 = 8,462.67/x
  3. Step 3: Cross multiply
    12,136.83x = 18,199.57 × 8,462.67
  4. Step 4: Simplify right side
    12,136.83x = 154,016,955.05
  5. Step 5: Solve for x
    x = 154,016,955.05/12,136.83
  6. Step 6: Final answer
    x = 12,690.05

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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.