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Finding the Fourth Proportional to 12,362.75, 18,539.75 and 5,342.48

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Solution

The fourth proportional to 12,362.75, 18,539.75 and 5,342.48 is: 8,011.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,362.75 : 18,539.75 = 5,342.48 : x
  2. Step 2: Convert to fraction form
    12,362.75/18,539.75 = 5,342.48/x
  3. Step 3: Cross multiply
    12,362.75x = 18,539.75 × 5,342.48
  4. Step 4: Simplify right side
    12,362.75x = 99,048,164.24
  5. Step 5: Solve for x
    x = 99,048,164.24/12,362.75
  6. Step 6: Final answer
    x = 8,011.83

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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.