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Finding the Fourth Proportional to 26,138.63, 36,071.48 and 14,201.97

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Solution

The fourth proportional to 26,138.63, 36,071.48 and 14,201.97 is: 19,598.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,138.63 : 36,071.48 = 14,201.97 : x
  2. Step 2: Convert to fraction form
    26,138.63/36,071.48 = 14,201.97/x
  3. Step 3: Cross multiply
    26,138.63x = 36,071.48 × 14,201.97
  4. Step 4: Simplify right side
    26,138.63x = 512,286,005.81
  5. Step 5: Solve for x
    x = 512,286,005.81/26,138.63
  6. Step 6: Final answer
    x = 19,598.81

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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.