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Finding the Fourth Proportional to 18,561.17, 27,838.80 and 5,410.47

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Solution

The fourth proportional to 18,561.17, 27,838.80 and 5,410.47 is: 8,114.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,561.17 : 27,838.80 = 5,410.47 : x
  2. Step 2: Convert to fraction form
    18,561.17/27,838.80 = 5,410.47/x
  3. Step 3: Cross multiply
    18,561.17x = 27,838.80 × 5,410.47
  4. Step 4: Simplify right side
    18,561.17x = 150,620,992.24
  5. Step 5: Solve for x
    x = 150,620,992.24/18,561.17
  6. Step 6: Final answer
    x = 8,114.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.