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Finding the Fourth Proportional to 14,249.54, 19,664.29 and 7,961.86

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Solution

The fourth proportional to 14,249.54, 19,664.29 and 7,961.86 is: 10,987.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,249.54 : 19,664.29 = 7,961.86 : x
  2. Step 2: Convert to fraction form
    14,249.54/19,664.29 = 7,961.86/x
  3. Step 3: Cross multiply
    14,249.54x = 19,664.29 × 7,961.86
  4. Step 4: Simplify right side
    14,249.54x = 156,564,323.98
  5. Step 5: Solve for x
    x = 156,564,323.98/14,249.54
  6. Step 6: Final answer
    x = 10,987.32

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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.