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Finding the Fourth Proportional to 22,826.44, 31,500.72 and 12,755.26

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Solution

The fourth proportional to 22,826.44, 31,500.72 and 12,755.26 is: 17,602.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,826.44 : 31,500.72 = 12,755.26 : x
  2. Step 2: Convert to fraction form
    22,826.44/31,500.72 = 12,755.26/x
  3. Step 3: Cross multiply
    22,826.44x = 31,500.72 × 12,755.26
  4. Step 4: Simplify right side
    22,826.44x = 401,799,873.79
  5. Step 5: Solve for x
    x = 401,799,873.79/22,826.44
  6. Step 6: Final answer
    x = 17,602.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.