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Finding the Fourth Proportional to 12,293.74, 18,443.34 and 3,527.98

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Solution

The fourth proportional to 12,293.74, 18,443.34 and 3,527.98 is: 5,292.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,293.74 : 18,443.34 = 3,527.98 : x
  2. Step 2: Convert to fraction form
    12,293.74/18,443.34 = 3,527.98/x
  3. Step 3: Cross multiply
    12,293.74x = 18,443.34 × 3,527.98
  4. Step 4: Simplify right side
    12,293.74x = 65,067,734.65
  5. Step 5: Solve for x
    x = 65,067,734.65/12,293.74
  6. Step 6: Final answer
    x = 5,292.75

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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.