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Finding the Fourth Proportional to 14,065.90, 21,099.62 and 4,205.94

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Solution

The fourth proportional to 14,065.90, 21,099.62 and 4,205.94 is: 6,309.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,065.90 : 21,099.62 = 4,205.94 : x
  2. Step 2: Convert to fraction form
    14,065.90/21,099.62 = 4,205.94/x
  3. Step 3: Cross multiply
    14,065.90x = 21,099.62 × 4,205.94
  4. Step 4: Simplify right side
    14,065.90x = 88,743,735.74
  5. Step 5: Solve for x
    x = 88,743,735.74/14,065.90
  6. Step 6: Final answer
    x = 6,309.14

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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.