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Finding the Fourth Proportional to 13,156.97, 18,157.86 and 7,189.55

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Solution

The fourth proportional to 13,156.97, 18,157.86 and 7,189.55 is: 9,922.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,156.97 : 18,157.86 = 7,189.55 : x
  2. Step 2: Convert to fraction form
    13,156.97/18,157.86 = 7,189.55/x
  3. Step 3: Cross multiply
    13,156.97x = 18,157.86 × 7,189.55
  4. Step 4: Simplify right side
    13,156.97x = 130,546,751.57
  5. Step 5: Solve for x
    x = 130,546,751.57/13,156.97
  6. Step 6: Final answer
    x = 9,922.25

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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.