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Finding the Fourth Proportional to 26,138.35, 36,070.82 and 14,201.58

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Solution

The fourth proportional to 26,138.35, 36,070.82 and 14,201.58 is: 19,598.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,138.35 : 36,070.82 = 14,201.58 : x
  2. Step 2: Convert to fraction form
    26,138.35/36,070.82 = 14,201.58/x
  3. Step 3: Cross multiply
    26,138.35x = 36,070.82 × 14,201.58
  4. Step 4: Simplify right side
    26,138.35x = 512,262,761.58
  5. Step 5: Solve for x
    x = 512,262,761.58/26,138.35
  6. Step 6: Final answer
    x = 19,598.13

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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.