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Finding the Fourth Proportional to 21,431.96, 32,168.72 and 10,346.44

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Solution

The fourth proportional to 21,431.96, 32,168.72 and 10,346.44 is: 15,529.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,431.96 : 32,168.72 = 10,346.44 : x
  2. Step 2: Convert to fraction form
    21,431.96/32,168.72 = 10,346.44/x
  3. Step 3: Cross multiply
    21,431.96x = 32,168.72 × 10,346.44
  4. Step 4: Simplify right side
    21,431.96x = 332,831,731.36
  5. Step 5: Solve for x
    x = 332,831,731.36/21,431.96
  6. Step 6: Final answer
    x = 15,529.69

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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.