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Finding the Fourth Proportional to 16,559.83, 24,828 and 7,789.96

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Solution

The fourth proportional to 16,559.83, 24,828 and 7,789.96 is: 11,679.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,559.83 : 24,828 = 7,789.96 : x
  2. Step 2: Convert to fraction form
    16,559.83/24,828 = 7,789.96/x
  3. Step 3: Cross multiply
    16,559.83x = 24,828 × 7,789.96
  4. Step 4: Simplify right side
    16,559.83x = 193,409,126.88
  5. Step 5: Solve for x
    x = 193,409,126.88/16,559.83
  6. Step 6: Final answer
    x = 11,679.41

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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.