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Finding the Fourth Proportional to 16,279.97, 24,420.89 and 6,284.77

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Solution

The fourth proportional to 16,279.97, 24,420.89 and 6,284.77 is: 9,427.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,279.97 : 24,420.89 = 6,284.77 : x
  2. Step 2: Convert to fraction form
    16,279.97/24,420.89 = 6,284.77/x
  3. Step 3: Cross multiply
    16,279.97x = 24,420.89 × 6,284.77
  4. Step 4: Simplify right side
    16,279.97x = 153,479,676.85
  5. Step 5: Solve for x
    x = 153,479,676.85/16,279.97
  6. Step 6: Final answer
    x = 9,427.52

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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.