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Finding the Fourth Proportional to 21,842, 30,141.96 and 11,906.64

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Solution

The fourth proportional to 21,842, 30,141.96 and 11,906.64 is: 16,431.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,842 : 30,141.96 = 11,906.64 : x
  2. Step 2: Convert to fraction form
    21,842/30,141.96 = 11,906.64/x
  3. Step 3: Cross multiply
    21,842x = 30,141.96 × 11,906.64
  4. Step 4: Simplify right side
    21,842x = 358,889,466.61
  5. Step 5: Solve for x
    x = 358,889,466.61/21,842
  6. Step 6: Final answer
    x = 16,431.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.