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Finding the Fourth Proportional to 12,729.80, 19,094.70 and 9,449.30

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Solution

The fourth proportional to 12,729.80, 19,094.70 and 9,449.30 is: 14,173.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,729.80 : 19,094.70 = 9,449.30 : x
  2. Step 2: Convert to fraction form
    12,729.80/19,094.70 = 9,449.30/x
  3. Step 3: Cross multiply
    12,729.80x = 19,094.70 × 9,449.30
  4. Step 4: Simplify right side
    12,729.80x = 180,431,548.71
  5. Step 5: Solve for x
    x = 180,431,548.71/12,729.80
  6. Step 6: Final answer
    x = 14,173.95

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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.