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Finding the Fourth Proportional to 19,162.84, 28,744.34 and 5,836

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Solution

The fourth proportional to 19,162.84, 28,744.34 and 5,836 is: 8,754.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,162.84 : 28,744.34 = 5,836 : x
  2. Step 2: Convert to fraction form
    19,162.84/28,744.34 = 5,836/x
  3. Step 3: Cross multiply
    19,162.84x = 28,744.34 × 5,836
  4. Step 4: Simplify right side
    19,162.84x = 167,751,968.24
  5. Step 5: Solve for x
    x = 167,751,968.24/19,162.84
  6. Step 6: Final answer
    x = 8,754.02

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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.