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Finding the Fourth Proportional to 13,992.67, 19,303.81 and 8,022.97

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Solution

The fourth proportional to 13,992.67, 19,303.81 and 8,022.97 is: 11,068.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,992.67 : 19,303.81 = 8,022.97 : x
  2. Step 2: Convert to fraction form
    13,992.67/19,303.81 = 8,022.97/x
  3. Step 3: Cross multiply
    13,992.67x = 19,303.81 × 8,022.97
  4. Step 4: Simplify right side
    13,992.67x = 154,873,888.52
  5. Step 5: Solve for x
    x = 154,873,888.52/13,992.67
  6. Step 6: Final answer
    x = 11,068.22

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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.