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Finding the Fourth Proportional to 29,729.16, 44,592.12 and 12,194.28

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Solution

The fourth proportional to 29,729.16, 44,592.12 and 12,194.28 is: 18,290.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,729.16 : 44,592.12 = 12,194.28 : x
  2. Step 2: Convert to fraction form
    29,729.16/44,592.12 = 12,194.28/x
  3. Step 3: Cross multiply
    29,729.16x = 44,592.12 × 12,194.28
  4. Step 4: Simplify right side
    29,729.16x = 543,768,797.07
  5. Step 5: Solve for x
    x = 543,768,797.07/29,729.16
  6. Step 6: Final answer
    x = 18,290.76

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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.