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Finding the Fourth Proportional to 12,589.06, 18,857.65 and 7,382.38

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Solution

The fourth proportional to 12,589.06, 18,857.65 and 7,382.38 is: 11,058.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,589.06 : 18,857.65 = 7,382.38 : x
  2. Step 2: Convert to fraction form
    12,589.06/18,857.65 = 7,382.38/x
  3. Step 3: Cross multiply
    12,589.06x = 18,857.65 × 7,382.38
  4. Step 4: Simplify right side
    12,589.06x = 139,214,338.21
  5. Step 5: Solve for x
    x = 139,214,338.21/12,589.06
  6. Step 6: Final answer
    x = 11,058.36

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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.