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Finding the Fourth Proportional to 25,600.80, 38,362.24 and 18,996

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Solution

The fourth proportional to 25,600.80, 38,362.24 and 18,996 is: 28,465.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,600.80 : 38,362.24 = 18,996 : x
  2. Step 2: Convert to fraction form
    25,600.80/38,362.24 = 18,996/x
  3. Step 3: Cross multiply
    25,600.80x = 38,362.24 × 18,996
  4. Step 4: Simplify right side
    25,600.80x = 728,729,111.04
  5. Step 5: Solve for x
    x = 728,729,111.04/25,600.80
  6. Step 6: Final answer
    x = 28,465.09

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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.