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Finding the Fourth Proportional to 16,676.16, 24,992.88 and 6,804

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Solution

The fourth proportional to 16,676.16, 24,992.88 and 6,804 is: 10,197.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,676.16 : 24,992.88 = 6,804 : x
  2. Step 2: Convert to fraction form
    16,676.16/24,992.88 = 6,804/x
  3. Step 3: Cross multiply
    16,676.16x = 24,992.88 × 6,804
  4. Step 4: Simplify right side
    16,676.16x = 170,051,555.52
  5. Step 5: Solve for x
    x = 170,051,555.52/16,676.16
  6. Step 6: Final answer
    x = 10,197.28

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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.