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Finding the Fourth Proportional to 12,156.76, 16,776.48 and 6,851.44

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Solution

The fourth proportional to 12,156.76, 16,776.48 and 6,851.44 is: 9,455.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,156.76 : 16,776.48 = 6,851.44 : x
  2. Step 2: Convert to fraction form
    12,156.76/16,776.48 = 6,851.44/x
  3. Step 3: Cross multiply
    12,156.76x = 16,776.48 × 6,851.44
  4. Step 4: Simplify right side
    12,156.76x = 114,943,046.13
  5. Step 5: Solve for x
    x = 114,943,046.13/12,156.76
  6. Step 6: Final answer
    x = 9,455.07

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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.