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Finding the Fourth Proportional to 12,843.15, 19,257.43 and 7,652.67

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Solution

The fourth proportional to 12,843.15, 19,257.43 and 7,652.67 is: 11,474.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,843.15 : 19,257.43 = 7,652.67 : x
  2. Step 2: Convert to fraction form
    12,843.15/19,257.43 = 7,652.67/x
  3. Step 3: Cross multiply
    12,843.15x = 19,257.43 × 7,652.67
  4. Step 4: Simplify right side
    12,843.15x = 147,370,756.84
  5. Step 5: Solve for x
    x = 147,370,756.84/12,843.15
  6. Step 6: Final answer
    x = 11,474.66

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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.