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Finding the Fourth Proportional to 30,922.72, 42,665.92 and 20,869.76

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Solution

The fourth proportional to 30,922.72, 42,665.92 and 20,869.76 is: 28,795.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,922.72 : 42,665.92 = 20,869.76 : x
  2. Step 2: Convert to fraction form
    30,922.72/42,665.92 = 20,869.76/x
  3. Step 3: Cross multiply
    30,922.72x = 42,665.92 × 20,869.76
  4. Step 4: Simplify right side
    30,922.72x = 890,427,510.58
  5. Step 5: Solve for x
    x = 890,427,510.58/30,922.72
  6. Step 6: Final answer
    x = 28,795.25

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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.