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Finding the Fourth Proportional to 14,489.40, 21,741.30 and 5,724.60

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Solution

The fourth proportional to 14,489.40, 21,741.30 and 5,724.60 is: 8,589.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,489.40 : 21,741.30 = 5,724.60 : x
  2. Step 2: Convert to fraction form
    14,489.40/21,741.30 = 5,724.60/x
  3. Step 3: Cross multiply
    14,489.40x = 21,741.30 × 5,724.60
  4. Step 4: Simplify right side
    14,489.40x = 124,460,245.98
  5. Step 5: Solve for x
    x = 124,460,245.98/14,489.40
  6. Step 6: Final answer
    x = 8,589.74

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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.