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Finding the Fourth Proportional to 13,832.88, 19,090.11 and 8,170.91

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Solution

The fourth proportional to 13,832.88, 19,090.11 and 8,170.91 is: 11,276.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,832.88 : 19,090.11 = 8,170.91 : x
  2. Step 2: Convert to fraction form
    13,832.88/19,090.11 = 8,170.91/x
  3. Step 3: Cross multiply
    13,832.88x = 19,090.11 × 8,170.91
  4. Step 4: Simplify right side
    13,832.88x = 155,983,475.25
  5. Step 5: Solve for x
    x = 155,983,475.25/13,832.88
  6. Step 6: Final answer
    x = 11,276.28

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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.