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Finding the Fourth Proportional to 14,822.73, 22,238.73 and 9,268.38

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Solution

The fourth proportional to 14,822.73, 22,238.73 and 9,268.38 is: 13,905.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,822.73 : 22,238.73 = 9,268.38 : x
  2. Step 2: Convert to fraction form
    14,822.73/22,238.73 = 9,268.38/x
  3. Step 3: Cross multiply
    14,822.73x = 22,238.73 × 9,268.38
  4. Step 4: Simplify right side
    14,822.73x = 206,117,000.36
  5. Step 5: Solve for x
    x = 206,117,000.36/14,822.73
  6. Step 6: Final answer
    x = 13,905.47

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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.