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Finding the Fourth Proportional to 26,541.98, 39,818.73 and 8,073.50

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Solution

The fourth proportional to 26,541.98, 39,818.73 and 8,073.50 is: 12,112.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,541.98 : 39,818.73 = 8,073.50 : x
  2. Step 2: Convert to fraction form
    26,541.98/39,818.73 = 8,073.50/x
  3. Step 3: Cross multiply
    26,541.98x = 39,818.73 × 8,073.50
  4. Step 4: Simplify right side
    26,541.98x = 321,476,516.66
  5. Step 5: Solve for x
    x = 321,476,516.66/26,541.98
  6. Step 6: Final answer
    x = 12,112.00

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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.