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Finding the Fourth Proportional to 26,100.77, 36,019.16 and 14,164.10

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Solution

The fourth proportional to 26,100.77, 36,019.16 and 14,164.10 is: 19,546.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,100.77 : 36,019.16 = 14,164.10 : x
  2. Step 2: Convert to fraction form
    26,100.77/36,019.16 = 14,164.10/x
  3. Step 3: Cross multiply
    26,100.77x = 36,019.16 × 14,164.10
  4. Step 4: Simplify right side
    26,100.77x = 510,179,003.38
  5. Step 5: Solve for x
    x = 510,179,003.38/26,100.77
  6. Step 6: Final answer
    x = 19,546.51

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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.