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Finding the Fourth Proportional to 13,976.01, 20,967.66 and 5,211

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Solution

The fourth proportional to 13,976.01, 20,967.66 and 5,211 is: 7,817.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,976.01 : 20,967.66 = 5,211 : x
  2. Step 2: Convert to fraction form
    13,976.01/20,967.66 = 5,211/x
  3. Step 3: Cross multiply
    13,976.01x = 20,967.66 × 5,211
  4. Step 4: Simplify right side
    13,976.01x = 109,262,476.26
  5. Step 5: Solve for x
    x = 109,262,476.26/13,976.01
  6. Step 6: Final answer
    x = 7,817.86

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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.