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Finding the Fourth Proportional to 12,834, 19,258.68 and 5,538

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Solution

The fourth proportional to 12,834, 19,258.68 and 5,538 is: 8,310.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,834 : 19,258.68 = 5,538 : x
  2. Step 2: Convert to fraction form
    12,834/19,258.68 = 5,538/x
  3. Step 3: Cross multiply
    12,834x = 19,258.68 × 5,538
  4. Step 4: Simplify right side
    12,834x = 106,654,569.84
  5. Step 5: Solve for x
    x = 106,654,569.84/12,834
  6. Step 6: Final answer
    x = 8,310.31

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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.