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Finding the Fourth Proportional to 26,122, 36,048.38 and 14,185.36

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Solution

The fourth proportional to 26,122, 36,048.38 and 14,185.36 is: 19,575.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,122 : 36,048.38 = 14,185.36 : x
  2. Step 2: Convert to fraction form
    26,122/36,048.38 = 14,185.36/x
  3. Step 3: Cross multiply
    26,122x = 36,048.38 × 14,185.36
  4. Step 4: Simplify right side
    26,122x = 511,359,247.72
  5. Step 5: Solve for x
    x = 511,359,247.72/26,122
  6. Step 6: Final answer
    x = 19,575.81

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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.