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Finding the Fourth Proportional to 14,450.24, 19,944 and 9,141.44

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Solution

The fourth proportional to 14,450.24, 19,944 and 9,141.44 is: 12,616.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,450.24 : 19,944 = 9,141.44 : x
  2. Step 2: Convert to fraction form
    14,450.24/19,944 = 9,141.44/x
  3. Step 3: Cross multiply
    14,450.24x = 19,944 × 9,141.44
  4. Step 4: Simplify right side
    14,450.24x = 182,316,879.36
  5. Step 5: Solve for x
    x = 182,316,879.36/14,450.24
  6. Step 6: Final answer
    x = 12,616.88

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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.