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Finding the Fourth Proportional to 14,121.33, 21,164.88 and 7,874.70

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Solution

The fourth proportional to 14,121.33, 21,164.88 and 7,874.70 is: 11,802.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,121.33 : 21,164.88 = 7,874.70 : x
  2. Step 2: Convert to fraction form
    14,121.33/21,164.88 = 7,874.70/x
  3. Step 3: Cross multiply
    14,121.33x = 21,164.88 × 7,874.70
  4. Step 4: Simplify right side
    14,121.33x = 166,667,080.54
  5. Step 5: Solve for x
    x = 166,667,080.54/14,121.33
  6. Step 6: Final answer
    x = 11,802.51

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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.