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Finding the Fourth Proportional to 13,157.29, 18,157.32 and 7,189.33

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Solution

The fourth proportional to 13,157.29, 18,157.32 and 7,189.33 is: 9,921.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,157.29 : 18,157.32 = 7,189.33 : x
  2. Step 2: Convert to fraction form
    13,157.29/18,157.32 = 7,189.33/x
  3. Step 3: Cross multiply
    13,157.29x = 18,157.32 × 7,189.33
  4. Step 4: Simplify right side
    13,157.29x = 130,538,965.40
  5. Step 5: Solve for x
    x = 130,538,965.40/13,157.29
  6. Step 6: Final answer
    x = 9,921.42

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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.