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Finding the Fourth Proportional to 16,649.30, 24,986.27 and 7,884.24

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Solution

The fourth proportional to 16,649.30, 24,986.27 and 7,884.24 is: 11,832.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,649.30 : 24,986.27 = 7,884.24 : x
  2. Step 2: Convert to fraction form
    16,649.30/24,986.27 = 7,884.24/x
  3. Step 3: Cross multiply
    16,649.30x = 24,986.27 × 7,884.24
  4. Step 4: Simplify right side
    16,649.30x = 196,997,675.40
  5. Step 5: Solve for x
    x = 196,997,675.40/16,649.30
  6. Step 6: Final answer
    x = 11,832.19

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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.