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Finding the Fourth Proportional to 13,402.79, 18,496.68 and 7,738.57

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Solution

The fourth proportional to 13,402.79, 18,496.68 and 7,738.57 is: 10,679.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,402.79 : 18,496.68 = 7,738.57 : x
  2. Step 2: Convert to fraction form
    13,402.79/18,496.68 = 7,738.57/x
  3. Step 3: Cross multiply
    13,402.79x = 18,496.68 × 7,738.57
  4. Step 4: Simplify right side
    13,402.79x = 143,137,847.05
  5. Step 5: Solve for x
    x = 143,137,847.05/13,402.79
  6. Step 6: Final answer
    x = 10,679.71

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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.