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Finding the Fourth Proportional to 18,314.49, 27,473.75 and 5,830.13

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Solution

The fourth proportional to 18,314.49, 27,473.75 and 5,830.13 is: 8,745.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,314.49 : 27,473.75 = 5,830.13 : x
  2. Step 2: Convert to fraction form
    18,314.49/27,473.75 = 5,830.13/x
  3. Step 3: Cross multiply
    18,314.49x = 27,473.75 × 5,830.13
  4. Step 4: Simplify right side
    18,314.49x = 160,175,534.09
  5. Step 5: Solve for x
    x = 160,175,534.09/18,314.49
  6. Step 6: Final answer
    x = 8,745.84

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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.