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Finding the Fourth Proportional to 13,942.84, 19,222.50 and 11,944.84

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Solution

The fourth proportional to 13,942.84, 19,222.50 and 11,944.84 is: 16,467.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,942.84 : 19,222.50 = 11,944.84 : x
  2. Step 2: Convert to fraction form
    13,942.84/19,222.50 = 11,944.84/x
  3. Step 3: Cross multiply
    13,942.84x = 19,222.50 × 11,944.84
  4. Step 4: Simplify right side
    13,942.84x = 229,609,686.90
  5. Step 5: Solve for x
    x = 229,609,686.90/13,942.84
  6. Step 6: Final answer
    x = 16,467.93

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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.