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Finding the Fourth Proportional to 21,441.86, 32,212.23 and 20,556.14

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Solution

The fourth proportional to 21,441.86, 32,212.23 and 20,556.14 is: 30,881.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,441.86 : 32,212.23 = 20,556.14 : x
  2. Step 2: Convert to fraction form
    21,441.86/32,212.23 = 20,556.14/x
  3. Step 3: Cross multiply
    21,441.86x = 32,212.23 × 20,556.14
  4. Step 4: Simplify right side
    21,441.86x = 662,159,109.59
  5. Step 5: Solve for x
    x = 662,159,109.59/21,441.86
  6. Step 6: Final answer
    x = 30,881.61

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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.