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Finding the Fourth Proportional to 20,871.63, 31,314.37 and 13,879.17

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Solution

The fourth proportional to 20,871.63, 31,314.37 and 13,879.17 is: 20,823.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,871.63 : 31,314.37 = 13,879.17 : x
  2. Step 2: Convert to fraction form
    20,871.63/31,314.37 = 13,879.17/x
  3. Step 3: Cross multiply
    20,871.63x = 31,314.37 × 13,879.17
  4. Step 4: Simplify right side
    20,871.63x = 434,617,464.67
  5. Step 5: Solve for x
    x = 434,617,464.67/20,871.63
  6. Step 6: Final answer
    x = 20,823.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.