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Finding the Fourth Proportional to 21,461.48, 32,195.16 and 6,667.64

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Solution

The fourth proportional to 21,461.48, 32,195.16 and 6,667.64 is: 10,002.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,461.48 : 32,195.16 = 6,667.64 : x
  2. Step 2: Convert to fraction form
    21,461.48/32,195.16 = 6,667.64/x
  3. Step 3: Cross multiply
    21,461.48x = 32,195.16 × 6,667.64
  4. Step 4: Simplify right side
    21,461.48x = 214,665,736.62
  5. Step 5: Solve for x
    x = 214,665,736.62/21,461.48
  6. Step 6: Final answer
    x = 10,002.37

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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.