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Finding the Fourth Proportional to 21,762.20, 32,712.90 and 20,221.40

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Solution

The fourth proportional to 21,762.20, 32,712.90 and 20,221.40 is: 30,396.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,762.20 : 32,712.90 = 20,221.40 : x
  2. Step 2: Convert to fraction form
    21,762.20/32,712.90 = 20,221.40/x
  3. Step 3: Cross multiply
    21,762.20x = 32,712.90 × 20,221.40
  4. Step 4: Simplify right side
    21,762.20x = 661,500,636.06
  5. Step 5: Solve for x
    x = 661,500,636.06/21,762.20
  6. Step 6: Final answer
    x = 30,396.77

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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.