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Finding the Fourth Proportional to 12,907.29, 17,813.41 and 7,243.57

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Solution

The fourth proportional to 12,907.29, 17,813.41 and 7,243.57 is: 9,996.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,907.29 : 17,813.41 = 7,243.57 : x
  2. Step 2: Convert to fraction form
    12,907.29/17,813.41 = 7,243.57/x
  3. Step 3: Cross multiply
    12,907.29x = 17,813.41 × 7,243.57
  4. Step 4: Simplify right side
    12,907.29x = 129,032,682.27
  5. Step 5: Solve for x
    x = 129,032,682.27/12,907.29
  6. Step 6: Final answer
    x = 9,996.88

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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.