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Finding the Fourth Proportional to 12,156.50, 16,778.40 and 6,851.41

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Solution

The fourth proportional to 12,156.50, 16,778.40 and 6,851.41 is: 9,456.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,156.50 : 16,778.40 = 6,851.41 : x
  2. Step 2: Convert to fraction form
    12,156.50/16,778.40 = 6,851.41/x
  3. Step 3: Cross multiply
    12,156.50x = 16,778.40 × 6,851.41
  4. Step 4: Simplify right side
    12,156.50x = 114,955,697.54
  5. Step 5: Solve for x
    x = 114,955,697.54/12,156.50
  6. Step 6: Final answer
    x = 9,456.32

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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.