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Finding the Fourth Proportional to 21,459, 32,201.46 and 9,147

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Solution

The fourth proportional to 21,459, 32,201.46 and 9,147 is: 13,726.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,459 : 32,201.46 = 9,147 : x
  2. Step 2: Convert to fraction form
    21,459/32,201.46 = 9,147/x
  3. Step 3: Cross multiply
    21,459x = 32,201.46 × 9,147
  4. Step 4: Simplify right side
    21,459x = 294,546,754.62
  5. Step 5: Solve for x
    x = 294,546,754.62/21,459
  6. Step 6: Final answer
    x = 13,726.02

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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.