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Finding the Fourth Proportional to 26,813, 40,222.38 and 12,028.52

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Solution

The fourth proportional to 26,813, 40,222.38 and 12,028.52 is: 18,044.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,813 : 40,222.38 = 12,028.52 : x
  2. Step 2: Convert to fraction form
    26,813/40,222.38 = 12,028.52/x
  3. Step 3: Cross multiply
    26,813x = 40,222.38 × 12,028.52
  4. Step 4: Simplify right side
    26,813x = 483,815,702.28
  5. Step 5: Solve for x
    x = 483,815,702.28/26,813
  6. Step 6: Final answer
    x = 18,044.07

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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.