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Finding the Fourth Proportional to 26,174.36, 36,120.08 and 14,238

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Solution

The fourth proportional to 26,174.36, 36,120.08 and 14,238 is: 19,648.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,174.36 : 36,120.08 = 14,238 : x
  2. Step 2: Convert to fraction form
    26,174.36/36,120.08 = 14,238/x
  3. Step 3: Cross multiply
    26,174.36x = 36,120.08 × 14,238
  4. Step 4: Simplify right side
    26,174.36x = 514,277,734.64
  5. Step 5: Solve for x
    x = 514,277,734.64/26,174.36
  6. Step 6: Final answer
    x = 19,648.15

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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.