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Finding the Fourth Proportional to 21,905, 30,229.14 and 11,969

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Solution

The fourth proportional to 21,905, 30,229.14 and 11,969 is: 16,517.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,905 : 30,229.14 = 11,969 : x
  2. Step 2: Convert to fraction form
    21,905/30,229.14 = 11,969/x
  3. Step 3: Cross multiply
    21,905x = 30,229.14 × 11,969
  4. Step 4: Simplify right side
    21,905x = 361,812,576.66
  5. Step 5: Solve for x
    x = 361,812,576.66/21,905
  6. Step 6: Final answer
    x = 16,517.35

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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.