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Finding the Fourth Proportional to 12,156.80, 16,775.78 and 6,851.96

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Solution

The fourth proportional to 12,156.80, 16,775.78 and 6,851.96 is: 9,455.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,156.80 : 16,775.78 = 6,851.96 : x
  2. Step 2: Convert to fraction form
    12,156.80/16,775.78 = 6,851.96/x
  3. Step 3: Cross multiply
    12,156.80x = 16,775.78 × 6,851.96
  4. Step 4: Simplify right side
    12,156.80x = 114,946,973.53
  5. Step 5: Solve for x
    x = 114,946,973.53/12,156.80
  6. Step 6: Final answer
    x = 9,455.36

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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.