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Finding the Fourth Proportional to 21,027.20, 31,483.20 and 16,419.20

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Solution

The fourth proportional to 21,027.20, 31,483.20 and 16,419.20 is: 24,583.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,027.20 : 31,483.20 = 16,419.20 : x
  2. Step 2: Convert to fraction form
    21,027.20/31,483.20 = 16,419.20/x
  3. Step 3: Cross multiply
    21,027.20x = 31,483.20 × 16,419.20
  4. Step 4: Simplify right side
    21,027.20x = 516,928,957.44
  5. Step 5: Solve for x
    x = 516,928,957.44/21,027.20
  6. Step 6: Final answer
    x = 24,583.82

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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.