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Finding the Fourth Proportional to 12,546.03, 18,816 and 4,223.88

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Solution

The fourth proportional to 12,546.03, 18,816 and 4,223.88 is: 6,334.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,546.03 : 18,816 = 4,223.88 : x
  2. Step 2: Convert to fraction form
    12,546.03/18,816 = 4,223.88/x
  3. Step 3: Cross multiply
    12,546.03x = 18,816 × 4,223.88
  4. Step 4: Simplify right side
    12,546.03x = 79,476,526.08
  5. Step 5: Solve for x
    x = 79,476,526.08/12,546.03
  6. Step 6: Final answer
    x = 6,334.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.