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Finding the Fourth Proportional to 14,741.73, 20,344.03 and 8,454.11

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Solution

The fourth proportional to 14,741.73, 20,344.03 and 8,454.11 is: 11,666.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,741.73 : 20,344.03 = 8,454.11 : x
  2. Step 2: Convert to fraction form
    14,741.73/20,344.03 = 8,454.11/x
  3. Step 3: Cross multiply
    14,741.73x = 20,344.03 × 8,454.11
  4. Step 4: Simplify right side
    14,741.73x = 171,990,544.61
  5. Step 5: Solve for x
    x = 171,990,544.61/14,741.73
  6. Step 6: Final answer
    x = 11,666.92

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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.