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Finding the Fourth Proportional to 16,649.12, 22,977.12 and 9,936.80

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Solution

The fourth proportional to 16,649.12, 22,977.12 and 9,936.80 is: 13,713.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,649.12 : 22,977.12 = 9,936.80 : x
  2. Step 2: Convert to fraction form
    16,649.12/22,977.12 = 9,936.80/x
  3. Step 3: Cross multiply
    16,649.12x = 22,977.12 × 9,936.80
  4. Step 4: Simplify right side
    16,649.12x = 228,319,046.02
  5. Step 5: Solve for x
    x = 228,319,046.02/16,649.12
  6. Step 6: Final answer
    x = 13,713.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.