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Finding the Fourth Proportional to 26,361, 39,541.50 and 7,893

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Solution

The fourth proportional to 26,361, 39,541.50 and 7,893 is: 11,839.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,361 : 39,541.50 = 7,893 : x
  2. Step 2: Convert to fraction form
    26,361/39,541.50 = 7,893/x
  3. Step 3: Cross multiply
    26,361x = 39,541.50 × 7,893
  4. Step 4: Simplify right side
    26,361x = 312,101,059.50
  5. Step 5: Solve for x
    x = 312,101,059.50/26,361
  6. Step 6: Final answer
    x = 11,839.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.