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Finding the Fourth Proportional to 26,200.80, 36,157.10 and 14,264.14

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Solution

The fourth proportional to 26,200.80, 36,157.10 and 14,264.14 is: 19,684.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,200.80 : 36,157.10 = 14,264.14 : x
  2. Step 2: Convert to fraction form
    26,200.80/36,157.10 = 14,264.14/x
  3. Step 3: Cross multiply
    26,200.80x = 36,157.10 × 14,264.14
  4. Step 4: Simplify right side
    26,200.80x = 515,749,936.39
  5. Step 5: Solve for x
    x = 515,749,936.39/26,200.80
  6. Step 6: Final answer
    x = 19,684.51

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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.