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Finding the Fourth Proportional to 22,351.14, 30,846.42 and 14,409.90

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Solution

The fourth proportional to 22,351.14, 30,846.42 and 14,409.90 is: 19,886.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,351.14 : 30,846.42 = 14,409.90 : x
  2. Step 2: Convert to fraction form
    22,351.14/30,846.42 = 14,409.90/x
  3. Step 3: Cross multiply
    22,351.14x = 30,846.42 × 14,409.90
  4. Step 4: Simplify right side
    22,351.14x = 444,493,827.56
  5. Step 5: Solve for x
    x = 444,493,827.56/22,351.14
  6. Step 6: Final answer
    x = 19,886.85

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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.