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Finding the Fourth Proportional to 20,494.60, 30,741.90 and 16,266.40

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Solution

The fourth proportional to 20,494.60, 30,741.90 and 16,266.40 is: 24,399.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,494.60 : 30,741.90 = 16,266.40 : x
  2. Step 2: Convert to fraction form
    20,494.60/30,741.90 = 16,266.40/x
  3. Step 3: Cross multiply
    20,494.60x = 30,741.90 × 16,266.40
  4. Step 4: Simplify right side
    20,494.60x = 500,060,042.16
  5. Step 5: Solve for x
    x = 500,060,042.16/20,494.60
  6. Step 6: Final answer
    x = 24,399.60

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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.