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Finding the Fourth Proportional to 16,449.40, 24,674.10 and 10,228.60

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Solution

The fourth proportional to 16,449.40, 24,674.10 and 10,228.60 is: 15,342.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,449.40 : 24,674.10 = 10,228.60 : x
  2. Step 2: Convert to fraction form
    16,449.40/24,674.10 = 10,228.60/x
  3. Step 3: Cross multiply
    16,449.40x = 24,674.10 × 10,228.60
  4. Step 4: Simplify right side
    16,449.40x = 252,381,499.26
  5. Step 5: Solve for x
    x = 252,381,499.26/16,449.40
  6. Step 6: Final answer
    x = 15,342.90

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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.