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Finding the Fourth Proportional to 16,449.36, 24,674.40 and 7,681.92

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Solution

The fourth proportional to 16,449.36, 24,674.40 and 7,681.92 is: 11,523.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,449.36 : 24,674.40 = 7,681.92 : x
  2. Step 2: Convert to fraction form
    16,449.36/24,674.40 = 7,681.92/x
  3. Step 3: Cross multiply
    16,449.36x = 24,674.40 × 7,681.92
  4. Step 4: Simplify right side
    16,449.36x = 189,546,766.85
  5. Step 5: Solve for x
    x = 189,546,766.85/16,449.36
  6. Step 6: Final answer
    x = 11,523.05

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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.