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Finding the Fourth Proportional to 14,205.90, 21,311.93 and 5,440.82

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Solution

The fourth proportional to 14,205.90, 21,311.93 and 5,440.82 is: 8,162.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,205.90 : 21,311.93 = 5,440.82 : x
  2. Step 2: Convert to fraction form
    14,205.90/21,311.93 = 5,440.82/x
  3. Step 3: Cross multiply
    14,205.90x = 21,311.93 × 5,440.82
  4. Step 4: Simplify right side
    14,205.90x = 115,954,374.98
  5. Step 5: Solve for x
    x = 115,954,374.98/14,205.90
  6. Step 6: Final answer
    x = 8,162.41

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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.