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Finding the Fourth Proportional to 26,138.22, 36,070.98 and 14,201.82

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Solution

The fourth proportional to 26,138.22, 36,070.98 and 14,201.82 is: 19,598.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,138.22 : 36,070.98 = 14,201.82 : x
  2. Step 2: Convert to fraction form
    26,138.22/36,070.98 = 14,201.82/x
  3. Step 3: Cross multiply
    26,138.22x = 36,070.98 × 14,201.82
  4. Step 4: Simplify right side
    26,138.22x = 512,273,565.18
  5. Step 5: Solve for x
    x = 512,273,565.18/26,138.22
  6. Step 6: Final answer
    x = 19,598.64

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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.