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Finding the Fourth Proportional to 13,967.82, 19,268.16 and 10,605.06

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Solution

The fourth proportional to 13,967.82, 19,268.16 and 10,605.06 is: 14,629.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,967.82 : 19,268.16 = 10,605.06 : x
  2. Step 2: Convert to fraction form
    13,967.82/19,268.16 = 10,605.06/x
  3. Step 3: Cross multiply
    13,967.82x = 19,268.16 × 10,605.06
  4. Step 4: Simplify right side
    13,967.82x = 204,339,992.89
  5. Step 5: Solve for x
    x = 204,339,992.89/13,967.82
  6. Step 6: Final answer
    x = 14,629.34

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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.