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Finding the Fourth Proportional to 13,781.64, 18,764.22 and 13,737.90

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Solution

The fourth proportional to 13,781.64, 18,764.22 and 13,737.90 is: 18,704.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,781.64 : 18,764.22 = 13,737.90 : x
  2. Step 2: Convert to fraction form
    13,781.64/18,764.22 = 13,737.90/x
  3. Step 3: Cross multiply
    13,781.64x = 18,764.22 × 13,737.90
  4. Step 4: Simplify right side
    13,781.64x = 257,780,977.94
  5. Step 5: Solve for x
    x = 257,780,977.94/13,781.64
  6. Step 6: Final answer
    x = 18,704.67

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.