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Finding the Fourth Proportional to 16,768, 25,163.52 and 5,824

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Solution

The fourth proportional to 16,768, 25,163.52 and 5,824 is: 8,740.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,768 : 25,163.52 = 5,824 : x
  2. Step 2: Convert to fraction form
    16,768/25,163.52 = 5,824/x
  3. Step 3: Cross multiply
    16,768x = 25,163.52 × 5,824
  4. Step 4: Simplify right side
    16,768x = 146,552,340.48
  5. Step 5: Solve for x
    x = 146,552,340.48/16,768
  6. Step 6: Final answer
    x = 8,740.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.