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Finding the Fourth Proportional to 11,676.59, 17,492.30 and 9,779.96

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Solution

The fourth proportional to 11,676.59, 17,492.30 and 9,779.96 is: 14,651.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,676.59 : 17,492.30 = 9,779.96 : x
  2. Step 2: Convert to fraction form
    11,676.59/17,492.30 = 9,779.96/x
  3. Step 3: Cross multiply
    11,676.59x = 17,492.30 × 9,779.96
  4. Step 4: Simplify right side
    11,676.59x = 171,073,906.85
  5. Step 5: Solve for x
    x = 171,073,906.85/11,676.59
  6. Step 6: Final answer
    x = 14,651.02

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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.