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Finding the Fourth Proportional to 26,181, 36,129 and 14,244.12

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Solution

The fourth proportional to 26,181, 36,129 and 14,244.12 is: 19,656.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,181 : 36,129 = 14,244.12 : x
  2. Step 2: Convert to fraction form
    26,181/36,129 = 14,244.12/x
  3. Step 3: Cross multiply
    26,181x = 36,129 × 14,244.12
  4. Step 4: Simplify right side
    26,181x = 514,625,811.48
  5. Step 5: Solve for x
    x = 514,625,811.48/26,181
  6. Step 6: Final answer
    x = 19,656.46

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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.