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Finding the Fourth Proportional to 14,200.25, 21,282.94 and 7,087.71

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Solution

The fourth proportional to 14,200.25, 21,282.94 and 7,087.71 is: 10,622.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,200.25 : 21,282.94 = 7,087.71 : x
  2. Step 2: Convert to fraction form
    14,200.25/21,282.94 = 7,087.71/x
  3. Step 3: Cross multiply
    14,200.25x = 21,282.94 × 7,087.71
  4. Step 4: Simplify right side
    14,200.25x = 150,847,395.34
  5. Step 5: Solve for x
    x = 150,847,395.34/14,200.25
  6. Step 6: Final answer
    x = 10,622.87

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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.