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Finding the Fourth Proportional to 14,657.27, 21,993.78 and 9,729.23

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Solution

The fourth proportional to 14,657.27, 21,993.78 and 9,729.23 is: 14,599.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,657.27 : 21,993.78 = 9,729.23 : x
  2. Step 2: Convert to fraction form
    14,657.27/21,993.78 = 9,729.23/x
  3. Step 3: Cross multiply
    14,657.27x = 21,993.78 × 9,729.23
  4. Step 4: Simplify right side
    14,657.27x = 213,982,544.19
  5. Step 5: Solve for x
    x = 213,982,544.19/14,657.27
  6. Step 6: Final answer
    x = 14,599.07

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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.