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Finding the Fourth Proportional to 23,826.89, 32,879.64 and 13,216.31

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Solution

The fourth proportional to 23,826.89, 32,879.64 and 13,216.31 is: 18,237.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,826.89 : 32,879.64 = 13,216.31 : x
  2. Step 2: Convert to fraction form
    23,826.89/32,879.64 = 13,216.31/x
  3. Step 3: Cross multiply
    23,826.89x = 32,879.64 × 13,216.31
  4. Step 4: Simplify right side
    23,826.89x = 434,547,514.93
  5. Step 5: Solve for x
    x = 434,547,514.93/23,826.89
  6. Step 6: Final answer
    x = 18,237.69

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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.