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Finding the Fourth Proportional to 26,138.43, 36,071.22 and 14,201.76

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Solution

The fourth proportional to 26,138.43, 36,071.22 and 14,201.76 is: 19,598.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,138.43 : 36,071.22 = 14,201.76 : x
  2. Step 2: Convert to fraction form
    26,138.43/36,071.22 = 14,201.76/x
  3. Step 3: Cross multiply
    26,138.43x = 36,071.22 × 14,201.76
  4. Step 4: Simplify right side
    26,138.43x = 512,274,809.35
  5. Step 5: Solve for x
    x = 512,274,809.35/26,138.43
  6. Step 6: Final answer
    x = 19,598.53

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