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Finding the Fourth Proportional to 16,447.68, 24,679.62 and 7,683.21

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Solution

The fourth proportional to 16,447.68, 24,679.62 and 7,683.21 is: 11,528.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,447.68 : 24,679.62 = 7,683.21 : x
  2. Step 2: Convert to fraction form
    16,447.68/24,679.62 = 7,683.21/x
  3. Step 3: Cross multiply
    16,447.68x = 24,679.62 × 7,683.21
  4. Step 4: Simplify right side
    16,447.68x = 189,618,703.18
  5. Step 5: Solve for x
    x = 189,618,703.18/16,447.68
  6. Step 6: Final answer
    x = 11,528.60

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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.