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Finding the Fourth Proportional to 16,012.80, 24,006.40 and 6,771.20

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Solution

The fourth proportional to 16,012.80, 24,006.40 and 6,771.20 is: 10,151.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,012.80 : 24,006.40 = 6,771.20 : x
  2. Step 2: Convert to fraction form
    16,012.80/24,006.40 = 6,771.20/x
  3. Step 3: Cross multiply
    16,012.80x = 24,006.40 × 6,771.20
  4. Step 4: Simplify right side
    16,012.80x = 162,552,135.68
  5. Step 5: Solve for x
    x = 162,552,135.68/16,012.80
  6. Step 6: Final answer
    x = 10,151.39

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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.