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Finding the Fourth Proportional to 12,156.60, 16,777.09 and 6,851.77

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Solution

The fourth proportional to 12,156.60, 16,777.09 and 6,851.77 is: 9,456.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,156.60 : 16,777.09 = 6,851.77 : x
  2. Step 2: Convert to fraction form
    12,156.60/16,777.09 = 6,851.77/x
  3. Step 3: Cross multiply
    12,156.60x = 16,777.09 × 6,851.77
  4. Step 4: Simplify right side
    12,156.60x = 114,952,761.95
  5. Step 5: Solve for x
    x = 114,952,761.95/12,156.60
  6. Step 6: Final answer
    x = 9,456.00

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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.