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Finding the Fourth Proportional to 13,847.84, 19,087.44 and 9,648.80

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Solution

The fourth proportional to 13,847.84, 19,087.44 and 9,648.80 is: 13,299.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,847.84 : 19,087.44 = 9,648.80 : x
  2. Step 2: Convert to fraction form
    13,847.84/19,087.44 = 9,648.80/x
  3. Step 3: Cross multiply
    13,847.84x = 19,087.44 × 9,648.80
  4. Step 4: Simplify right side
    13,847.84x = 184,170,891.07
  5. Step 5: Solve for x
    x = 184,170,891.07/13,847.84
  6. Step 6: Final answer
    x = 13,299.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.