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Finding the Fourth Proportional to 16,531.20, 24,796.80 and 4,219.20

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Solution

The fourth proportional to 16,531.20, 24,796.80 and 4,219.20 is: 6,328.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,531.20 : 24,796.80 = 4,219.20 : x
  2. Step 2: Convert to fraction form
    16,531.20/24,796.80 = 4,219.20/x
  3. Step 3: Cross multiply
    16,531.20x = 24,796.80 × 4,219.20
  4. Step 4: Simplify right side
    16,531.20x = 104,622,658.56
  5. Step 5: Solve for x
    x = 104,622,658.56/16,531.20
  6. Step 6: Final answer
    x = 6,328.80

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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.