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Finding the Fourth Proportional to 21,771.72, 32,676.54 and 12,430.44

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Solution

The fourth proportional to 21,771.72, 32,676.54 and 12,430.44 is: 18,656.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,771.72 : 32,676.54 = 12,430.44 : x
  2. Step 2: Convert to fraction form
    21,771.72/32,676.54 = 12,430.44/x
  3. Step 3: Cross multiply
    21,771.72x = 32,676.54 × 12,430.44
  4. Step 4: Simplify right side
    21,771.72x = 406,183,769.88
  5. Step 5: Solve for x
    x = 406,183,769.88/21,771.72
  6. Step 6: Final answer
    x = 18,656.49

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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.