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Finding the Fourth Proportional to 26,482, 36,546.12 and 14,546.44

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Solution

The fourth proportional to 26,482, 36,546.12 and 14,546.44 is: 20,074.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,482 : 36,546.12 = 14,546.44 : x
  2. Step 2: Convert to fraction form
    26,482/36,546.12 = 14,546.44/x
  3. Step 3: Cross multiply
    26,482x = 36,546.12 × 14,546.44
  4. Step 4: Simplify right side
    26,482x = 531,615,941.81
  5. Step 5: Solve for x
    x = 531,615,941.81/26,482
  6. Step 6: Final answer
    x = 20,074.61

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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.