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Finding the Fourth Proportional to 16,447.86, 24,681.92 and 7,683.66

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Solution

The fourth proportional to 16,447.86, 24,681.92 and 7,683.66 is: 11,530.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,447.86 : 24,681.92 = 7,683.66 : x
  2. Step 2: Convert to fraction form
    16,447.86/24,681.92 = 7,683.66/x
  3. Step 3: Cross multiply
    16,447.86x = 24,681.92 × 7,683.66
  4. Step 4: Simplify right side
    16,447.86x = 189,647,443.01
  5. Step 5: Solve for x
    x = 189,647,443.01/16,447.86
  6. Step 6: Final answer
    x = 11,530.22

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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.