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Finding the Fourth Proportional to 19,824.18, 29,745.96 and 8,729.48

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Solution

The fourth proportional to 19,824.18, 29,745.96 and 8,729.48 is: 13,098.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,824.18 : 29,745.96 = 8,729.48 : x
  2. Step 2: Convert to fraction form
    19,824.18/29,745.96 = 8,729.48/x
  3. Step 3: Cross multiply
    19,824.18x = 29,745.96 × 8,729.48
  4. Step 4: Simplify right side
    19,824.18x = 259,666,804.53
  5. Step 5: Solve for x
    x = 259,666,804.53/19,824.18
  6. Step 6: Final answer
    x = 13,098.49

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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.