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Finding the Fourth Proportional to 13,157.90, 18,164.22 and 7,781.26

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Solution

The fourth proportional to 13,157.90, 18,164.22 and 7,781.26 is: 10,741.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,157.90 : 18,164.22 = 7,781.26 : x
  2. Step 2: Convert to fraction form
    13,157.90/18,164.22 = 7,781.26/x
  3. Step 3: Cross multiply
    13,157.90x = 18,164.22 × 7,781.26
  4. Step 4: Simplify right side
    13,157.90x = 141,340,518.52
  5. Step 5: Solve for x
    x = 141,340,518.52/13,157.90
  6. Step 6: Final answer
    x = 10,741.88

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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.