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Finding the Fourth Proportional to 13,157.26, 18,158.09 and 7,493.78

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Solution

The fourth proportional to 13,157.26, 18,158.09 and 7,493.78 is: 10,342.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,157.26 : 18,158.09 = 7,493.78 : x
  2. Step 2: Convert to fraction form
    13,157.26/18,158.09 = 7,493.78/x
  3. Step 3: Cross multiply
    13,157.26x = 18,158.09 × 7,493.78
  4. Step 4: Simplify right side
    13,157.26x = 136,072,813.37
  5. Step 5: Solve for x
    x = 136,072,813.37/13,157.26
  6. Step 6: Final answer
    x = 10,342.03

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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.