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Finding the Fourth Proportional to 26,101.60, 36,019.44 and 14,164.32

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Solution

The fourth proportional to 26,101.60, 36,019.44 and 14,164.32 is: 19,546.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,101.60 : 36,019.44 = 14,164.32 : x
  2. Step 2: Convert to fraction form
    26,101.60/36,019.44 = 14,164.32/x
  3. Step 3: Cross multiply
    26,101.60x = 36,019.44 × 14,164.32
  4. Step 4: Simplify right side
    26,101.60x = 510,190,874.38
  5. Step 5: Solve for x
    x = 510,190,874.38/26,101.60
  6. Step 6: Final answer
    x = 19,546.34

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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.