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Finding the Fourth Proportional to 23,827.37, 32,879.12 and 13,214.34

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Solution

The fourth proportional to 23,827.37, 32,879.12 and 13,214.34 is: 18,234.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,827.37 : 32,879.12 = 13,214.34 : x
  2. Step 2: Convert to fraction form
    23,827.37/32,879.12 = 13,214.34/x
  3. Step 3: Cross multiply
    23,827.37x = 32,879.12 × 13,214.34
  4. Step 4: Simplify right side
    23,827.37x = 434,475,804.51
  5. Step 5: Solve for x
    x = 434,475,804.51/23,827.37
  6. Step 6: Final answer
    x = 18,234.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.