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Finding the Fourth Proportional to 12,285.25, 16,953.62 and 7,249.48

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Solution

The fourth proportional to 12,285.25, 16,953.62 and 7,249.48 is: 10,004.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,285.25 : 16,953.62 = 7,249.48 : x
  2. Step 2: Convert to fraction form
    12,285.25/16,953.62 = 7,249.48/x
  3. Step 3: Cross multiply
    12,285.25x = 16,953.62 × 7,249.48
  4. Step 4: Simplify right side
    12,285.25x = 122,904,904.86
  5. Step 5: Solve for x
    x = 122,904,904.86/12,285.25
  6. Step 6: Final answer
    x = 10,004.27

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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.