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Finding the Fourth Proportional to 12,899.46, 17,804.43 and 7,866.46

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Solution

The fourth proportional to 12,899.46, 17,804.43 and 7,866.46 is: 10,857.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,899.46 : 17,804.43 = 7,866.46 : x
  2. Step 2: Convert to fraction form
    12,899.46/17,804.43 = 7,866.46/x
  3. Step 3: Cross multiply
    12,899.46x = 17,804.43 × 7,866.46
  4. Step 4: Simplify right side
    12,899.46x = 140,057,791.91
  5. Step 5: Solve for x
    x = 140,057,791.91/12,899.46
  6. Step 6: Final answer
    x = 10,857.65

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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.