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Finding the Fourth Proportional to 13,403.05, 18,493.44 and 7,737.70

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Solution

The fourth proportional to 13,403.05, 18,493.44 and 7,737.70 is: 10,676.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,403.05 : 18,493.44 = 7,737.70 : x
  2. Step 2: Convert to fraction form
    13,403.05/18,493.44 = 7,737.70/x
  3. Step 3: Cross multiply
    13,403.05x = 18,493.44 × 7,737.70
  4. Step 4: Simplify right side
    13,403.05x = 143,096,690.69
  5. Step 5: Solve for x
    x = 143,096,690.69/13,403.05
  6. Step 6: Final answer
    x = 10,676.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.