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Finding the Fourth Proportional to 15,729.44, 21,716.64 and 9,769.92

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Solution

The fourth proportional to 15,729.44, 21,716.64 and 9,769.92 is: 13,488.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,729.44 : 21,716.64 = 9,769.92 : x
  2. Step 2: Convert to fraction form
    15,729.44/21,716.64 = 9,769.92/x
  3. Step 3: Cross multiply
    15,729.44x = 21,716.64 × 9,769.92
  4. Step 4: Simplify right side
    15,729.44x = 212,169,835.47
  5. Step 5: Solve for x
    x = 212,169,835.47/15,729.44
  6. Step 6: Final answer
    x = 13,488.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.