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Finding the Fourth Proportional to 16,646.14, 24,969.31 and 5,552.80

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Solution

The fourth proportional to 16,646.14, 24,969.31 and 5,552.80 is: 8,329.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,646.14 : 24,969.31 = 5,552.80 : x
  2. Step 2: Convert to fraction form
    16,646.14/24,969.31 = 5,552.80/x
  3. Step 3: Cross multiply
    16,646.14x = 24,969.31 × 5,552.80
  4. Step 4: Simplify right side
    16,646.14x = 138,649,431.96
  5. Step 5: Solve for x
    x = 138,649,431.96/16,646.14
  6. Step 6: Final answer
    x = 8,329.22

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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.