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Finding the Fourth Proportional to 21,352.32, 32,028.41 and 5,769.95

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Solution

The fourth proportional to 21,352.32, 32,028.41 and 5,769.95 is: 8,654.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,352.32 : 32,028.41 = 5,769.95 : x
  2. Step 2: Convert to fraction form
    21,352.32/32,028.41 = 5,769.95/x
  3. Step 3: Cross multiply
    21,352.32x = 32,028.41 × 5,769.95
  4. Step 4: Simplify right side
    21,352.32x = 184,802,178.56
  5. Step 5: Solve for x
    x = 184,802,178.56/21,352.32
  6. Step 6: Final answer
    x = 8,654.90

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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.