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Finding the Fourth Proportional to 26,138.38, 36,070.76 and 14,201.68

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Solution

The fourth proportional to 26,138.38, 36,070.76 and 14,201.68 is: 19,598.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,138.38 : 36,070.76 = 14,201.68 : x
  2. Step 2: Convert to fraction form
    26,138.38/36,070.76 = 14,201.68/x
  3. Step 3: Cross multiply
    26,138.38x = 36,070.76 × 14,201.68
  4. Step 4: Simplify right side
    26,138.38x = 512,265,390.88
  5. Step 5: Solve for x
    x = 512,265,390.88/26,138.38
  6. Step 6: Final answer
    x = 19,598.21

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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.