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Finding the Fourth Proportional to 21,531.44, 32,298.96 and 8,201

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Solution

The fourth proportional to 21,531.44, 32,298.96 and 8,201 is: 12,302.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,531.44 : 32,298.96 = 8,201 : x
  2. Step 2: Convert to fraction form
    21,531.44/32,298.96 = 8,201/x
  3. Step 3: Cross multiply
    21,531.44x = 32,298.96 × 8,201
  4. Step 4: Simplify right side
    21,531.44x = 264,883,770.96
  5. Step 5: Solve for x
    x = 264,883,770.96/21,531.44
  6. Step 6: Final answer
    x = 12,302.19

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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.