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Finding the Fourth Proportional to 14,745.39, 20,350.89 and 8,777.67

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Solution

The fourth proportional to 14,745.39, 20,350.89 and 8,777.67 is: 12,114.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,745.39 : 20,350.89 = 8,777.67 : x
  2. Step 2: Convert to fraction form
    14,745.39/20,350.89 = 8,777.67/x
  3. Step 3: Cross multiply
    14,745.39x = 20,350.89 × 8,777.67
  4. Step 4: Simplify right side
    14,745.39x = 178,633,396.63
  5. Step 5: Solve for x
    x = 178,633,396.63/14,745.39
  6. Step 6: Final answer
    x = 12,114.53

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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.