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Finding the Fourth Proportional to 12,449.46, 18,630.30 and 7,771.68

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Solution

The fourth proportional to 12,449.46, 18,630.30 and 7,771.68 is: 11,630.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,449.46 : 18,630.30 = 7,771.68 : x
  2. Step 2: Convert to fraction form
    12,449.46/18,630.30 = 7,771.68/x
  3. Step 3: Cross multiply
    12,449.46x = 18,630.30 × 7,771.68
  4. Step 4: Simplify right side
    12,449.46x = 144,788,729.90
  5. Step 5: Solve for x
    x = 144,788,729.90/12,449.46
  6. Step 6: Final answer
    x = 11,630.12

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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.