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Finding the Fourth Proportional to 13,451, 18,548.34 and 8,143.88

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Solution

The fourth proportional to 13,451, 18,548.34 and 8,143.88 is: 11,230.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,451 : 18,548.34 = 8,143.88 : x
  2. Step 2: Convert to fraction form
    13,451/18,548.34 = 8,143.88/x
  3. Step 3: Cross multiply
    13,451x = 18,548.34 × 8,143.88
  4. Step 4: Simplify right side
    13,451x = 151,055,455.16
  5. Step 5: Solve for x
    x = 151,055,455.16/13,451
  6. Step 6: Final answer
    x = 11,230.05

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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.