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Finding the Fourth Proportional to 14,741.82, 20,343.81 and 8,454.20

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Solution

The fourth proportional to 14,741.82, 20,343.81 and 8,454.20 is: 11,666.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,741.82 : 20,343.81 = 8,454.20 : x
  2. Step 2: Convert to fraction form
    14,741.82/20,343.81 = 8,454.20/x
  3. Step 3: Cross multiply
    14,741.82x = 20,343.81 × 8,454.20
  4. Step 4: Simplify right side
    14,741.82x = 171,990,536.78
  5. Step 5: Solve for x
    x = 171,990,536.78/14,741.82
  6. Step 6: Final answer
    x = 11,666.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.