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Finding the Fourth Proportional to 13,157.05, 19,729.17 and 4,389

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Solution

The fourth proportional to 13,157.05, 19,729.17 and 4,389 is: 6,581.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,157.05 : 19,729.17 = 4,389 : x
  2. Step 2: Convert to fraction form
    13,157.05/19,729.17 = 4,389/x
  3. Step 3: Cross multiply
    13,157.05x = 19,729.17 × 4,389
  4. Step 4: Simplify right side
    13,157.05x = 86,591,343.59
  5. Step 5: Solve for x
    x = 86,591,343.59/13,157.05
  6. Step 6: Final answer
    x = 6,581.37

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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.