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Finding the Fourth Proportional to 14,205.81, 21,311.80 and 5,440.73

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Solution

The fourth proportional to 14,205.81, 21,311.80 and 5,440.73 is: 8,162.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,205.81 : 21,311.80 = 5,440.73 : x
  2. Step 2: Convert to fraction form
    14,205.81/21,311.80 = 5,440.73/x
  3. Step 3: Cross multiply
    14,205.81x = 21,311.80 × 5,440.73
  4. Step 4: Simplify right side
    14,205.81x = 115,951,749.61
  5. Step 5: Solve for x
    x = 115,951,749.61/14,205.81
  6. Step 6: Final answer
    x = 8,162.28

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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.