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Finding the Fourth Proportional to 13,146.83, 19,729.97 and 4,832

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Solution

The fourth proportional to 13,146.83, 19,729.97 and 4,832 is: 7,251.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,146.83 : 19,729.97 = 4,832 : x
  2. Step 2: Convert to fraction form
    13,146.83/19,729.97 = 4,832/x
  3. Step 3: Cross multiply
    13,146.83x = 19,729.97 × 4,832
  4. Step 4: Simplify right side
    13,146.83x = 95,335,215.04
  5. Step 5: Solve for x
    x = 95,335,215.04/13,146.83
  6. Step 6: Final answer
    x = 7,251.57

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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.