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Finding the Fourth Proportional to 21,214.96, 31,836.96 and 10,834

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Solution

The fourth proportional to 21,214.96, 31,836.96 and 10,834 is: 16,258.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,214.96 : 31,836.96 = 10,834 : x
  2. Step 2: Convert to fraction form
    21,214.96/31,836.96 = 10,834/x
  3. Step 3: Cross multiply
    21,214.96x = 31,836.96 × 10,834
  4. Step 4: Simplify right side
    21,214.96x = 344,921,624.64
  5. Step 5: Solve for x
    x = 344,921,624.64/21,214.96
  6. Step 6: Final answer
    x = 16,258.42

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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.