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Finding the Fourth Proportional to 14,051, 21,077.72 and 3,662.75

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Solution

The fourth proportional to 14,051, 21,077.72 and 3,662.75 is: 5,494.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,051 : 21,077.72 = 3,662.75 : x
  2. Step 2: Convert to fraction form
    14,051/21,077.72 = 3,662.75/x
  3. Step 3: Cross multiply
    14,051x = 21,077.72 × 3,662.75
  4. Step 4: Simplify right side
    14,051x = 77,202,400.62
  5. Step 5: Solve for x
    x = 77,202,400.62/14,051
  6. Step 6: Final answer
    x = 5,494.44

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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.