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Finding the Fourth Proportional to 21,433.86, 32,200.20 and 20,548.14

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Solution

The fourth proportional to 21,433.86, 32,200.20 and 20,548.14 is: 30,869.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,433.86 : 32,200.20 = 20,548.14 : x
  2. Step 2: Convert to fraction form
    21,433.86/32,200.20 = 20,548.14/x
  3. Step 3: Cross multiply
    21,433.86x = 32,200.20 × 20,548.14
  4. Step 4: Simplify right side
    21,433.86x = 661,654,217.63
  5. Step 5: Solve for x
    x = 661,654,217.63/21,433.86
  6. Step 6: Final answer
    x = 30,869.58

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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.