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Finding the Fourth Proportional to 16,008.48, 24,006.24 and 6,768

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Solution

The fourth proportional to 16,008.48, 24,006.24 and 6,768 is: 10,149.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,008.48 : 24,006.24 = 6,768 : x
  2. Step 2: Convert to fraction form
    16,008.48/24,006.24 = 6,768/x
  3. Step 3: Cross multiply
    16,008.48x = 24,006.24 × 6,768
  4. Step 4: Simplify right side
    16,008.48x = 162,474,232.32
  5. Step 5: Solve for x
    x = 162,474,232.32/16,008.48
  6. Step 6: Final answer
    x = 10,149.26

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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.