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Finding the Fourth Proportional to 15,147.45, 22,672.53 and 8,109.81

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Solution

The fourth proportional to 15,147.45, 22,672.53 and 8,109.81 is: 12,138.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,147.45 : 22,672.53 = 8,109.81 : x
  2. Step 2: Convert to fraction form
    15,147.45/22,672.53 = 8,109.81/x
  3. Step 3: Cross multiply
    15,147.45x = 22,672.53 × 8,109.81
  4. Step 4: Simplify right side
    15,147.45x = 183,869,910.52
  5. Step 5: Solve for x
    x = 183,869,910.52/15,147.45
  6. Step 6: Final answer
    x = 12,138.67

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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.