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Finding the Fourth Proportional to 14,454.96, 21,682.44 and 5,101.92

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Solution

The fourth proportional to 14,454.96, 21,682.44 and 5,101.92 is: 7,652.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,454.96 : 21,682.44 = 5,101.92 : x
  2. Step 2: Convert to fraction form
    14,454.96/21,682.44 = 5,101.92/x
  3. Step 3: Cross multiply
    14,454.96x = 21,682.44 × 5,101.92
  4. Step 4: Simplify right side
    14,454.96x = 110,622,074.28
  5. Step 5: Solve for x
    x = 110,622,074.28/14,454.96
  6. Step 6: Final answer
    x = 7,652.88

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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.