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Finding the Fourth Proportional to 12,235.24, 16,879.65 and 7,984.83

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Solution

The fourth proportional to 12,235.24, 16,879.65 and 7,984.83 is: 11,015.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,235.24 : 16,879.65 = 7,984.83 : x
  2. Step 2: Convert to fraction form
    12,235.24/16,879.65 = 7,984.83/x
  3. Step 3: Cross multiply
    12,235.24x = 16,879.65 × 7,984.83
  4. Step 4: Simplify right side
    12,235.24x = 134,781,130.26
  5. Step 5: Solve for x
    x = 134,781,130.26/12,235.24
  6. Step 6: Final answer
    x = 11,015.81

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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.