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Finding the Fourth Proportional to 18,309.31, 27,463.59 and 5,830.20

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Solution

The fourth proportional to 18,309.31, 27,463.59 and 5,830.20 is: 8,745.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,309.31 : 27,463.59 = 5,830.20 : x
  2. Step 2: Convert to fraction form
    18,309.31/27,463.59 = 5,830.20/x
  3. Step 3: Cross multiply
    18,309.31x = 27,463.59 × 5,830.20
  4. Step 4: Simplify right side
    18,309.31x = 160,118,222.42
  5. Step 5: Solve for x
    x = 160,118,222.42/18,309.31
  6. Step 6: Final answer
    x = 8,745.18

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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.