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Finding the Fourth Proportional to 14,099.73, 19,456.72 and 7,726.24

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Solution

The fourth proportional to 14,099.73, 19,456.72 and 7,726.24 is: 10,661.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,099.73 : 19,456.72 = 7,726.24 : x
  2. Step 2: Convert to fraction form
    14,099.73/19,456.72 = 7,726.24/x
  3. Step 3: Cross multiply
    14,099.73x = 19,456.72 × 7,726.24
  4. Step 4: Simplify right side
    14,099.73x = 150,327,249.70
  5. Step 5: Solve for x
    x = 150,327,249.70/14,099.73
  6. Step 6: Final answer
    x = 10,661.72

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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.