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Finding the Fourth Proportional to 14,449.14, 21,679.97 and 5,095.85

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Solution

The fourth proportional to 14,449.14, 21,679.97 and 5,095.85 is: 7,645.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,449.14 : 21,679.97 = 5,095.85 : x
  2. Step 2: Convert to fraction form
    14,449.14/21,679.97 = 5,095.85/x
  3. Step 3: Cross multiply
    14,449.14x = 21,679.97 × 5,095.85
  4. Step 4: Simplify right side
    14,449.14x = 110,477,741.25
  5. Step 5: Solve for x
    x = 110,477,741.25/14,449.14
  6. Step 6: Final answer
    x = 7,645.97

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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.