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Finding the Fourth Proportional to 30,922.64, 42,666 and 20,869.68

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Solution

The fourth proportional to 30,922.64, 42,666 and 20,869.68 is: 28,795.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,922.64 : 42,666 = 20,869.68 : x
  2. Step 2: Convert to fraction form
    30,922.64/42,666 = 20,869.68/x
  3. Step 3: Cross multiply
    30,922.64x = 42,666 × 20,869.68
  4. Step 4: Simplify right side
    30,922.64x = 890,425,766.88
  5. Step 5: Solve for x
    x = 890,425,766.88/30,922.64
  6. Step 6: Final answer
    x = 28,795.27

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