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Finding the Fourth Proportional to 12,877.94, 19,309.46 and 6,866.60

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Solution

The fourth proportional to 12,877.94, 19,309.46 and 6,866.60 is: 10,295.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,877.94 : 19,309.46 = 6,866.60 : x
  2. Step 2: Convert to fraction form
    12,877.94/19,309.46 = 6,866.60/x
  3. Step 3: Cross multiply
    12,877.94x = 19,309.46 × 6,866.60
  4. Step 4: Simplify right side
    12,877.94x = 132,590,338.04
  5. Step 5: Solve for x
    x = 132,590,338.04/12,877.94
  6. Step 6: Final answer
    x = 10,295.93

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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.