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Finding the Fourth Proportional to 16,137.49, 24,194.31 and 6,780.28

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Solution

The fourth proportional to 16,137.49, 24,194.31 and 6,780.28 is: 10,165.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,137.49 : 24,194.31 = 6,780.28 : x
  2. Step 2: Convert to fraction form
    16,137.49/24,194.31 = 6,780.28/x
  3. Step 3: Cross multiply
    16,137.49x = 24,194.31 × 6,780.28
  4. Step 4: Simplify right side
    16,137.49x = 164,044,196.21
  5. Step 5: Solve for x
    x = 164,044,196.21/16,137.49
  6. Step 6: Final answer
    x = 10,165.41

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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.