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Finding the Fourth Proportional to 18,385.14, 27,578.52 and 6,696.84

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Solution

The fourth proportional to 18,385.14, 27,578.52 and 6,696.84 is: 10,045.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,385.14 : 27,578.52 = 6,696.84 : x
  2. Step 2: Convert to fraction form
    18,385.14/27,578.52 = 6,696.84/x
  3. Step 3: Cross multiply
    18,385.14x = 27,578.52 × 6,696.84
  4. Step 4: Simplify right side
    18,385.14x = 184,688,935.88
  5. Step 5: Solve for x
    x = 184,688,935.88/18,385.14
  6. Step 6: Final answer
    x = 10,045.56

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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.