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Finding the Fourth Proportional to 18,135.71, 27,208.83 and 6,449.84

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Solution

The fourth proportional to 18,135.71, 27,208.83 and 6,449.84 is: 9,676.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,135.71 : 27,208.83 = 6,449.84 : x
  2. Step 2: Convert to fraction form
    18,135.71/27,208.83 = 6,449.84/x
  3. Step 3: Cross multiply
    18,135.71x = 27,208.83 × 6,449.84
  4. Step 4: Simplify right side
    18,135.71x = 175,492,600.09
  5. Step 5: Solve for x
    x = 175,492,600.09/18,135.71
  6. Step 6: Final answer
    x = 9,676.63

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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.