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Finding the Fourth Proportional to 14,289.40, 21,434.94 and 5,524.36

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Solution

The fourth proportional to 14,289.40, 21,434.94 and 5,524.36 is: 8,286.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,289.40 : 21,434.94 = 5,524.36 : x
  2. Step 2: Convert to fraction form
    14,289.40/21,434.94 = 5,524.36/x
  3. Step 3: Cross multiply
    14,289.40x = 21,434.94 × 5,524.36
  4. Step 4: Simplify right side
    14,289.40x = 118,414,325.14
  5. Step 5: Solve for x
    x = 118,414,325.14/14,289.40
  6. Step 6: Final answer
    x = 8,286.86

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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.