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Finding the Fourth Proportional to 21,676.96, 32,515.43 and 6,094.58

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Solution

The fourth proportional to 21,676.96, 32,515.43 and 6,094.58 is: 9,141.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,676.96 : 32,515.43 = 6,094.58 : x
  2. Step 2: Convert to fraction form
    21,676.96/32,515.43 = 6,094.58/x
  3. Step 3: Cross multiply
    21,676.96x = 32,515.43 × 6,094.58
  4. Step 4: Simplify right side
    21,676.96x = 198,167,858.90
  5. Step 5: Solve for x
    x = 198,167,858.90/21,676.96
  6. Step 6: Final answer
    x = 9,141.87

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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.