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Finding the Fourth Proportional to 16,219.20, 24,328.80 and 10,678.80

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Solution

The fourth proportional to 16,219.20, 24,328.80 and 10,678.80 is: 16,018.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,219.20 : 24,328.80 = 10,678.80 : x
  2. Step 2: Convert to fraction form
    16,219.20/24,328.80 = 10,678.80/x
  3. Step 3: Cross multiply
    16,219.20x = 24,328.80 × 10,678.80
  4. Step 4: Simplify right side
    16,219.20x = 259,802,389.44
  5. Step 5: Solve for x
    x = 259,802,389.44/16,219.20
  6. Step 6: Final answer
    x = 16,018.20

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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.