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Finding the Fourth Proportional to 16,873.66, 23,288.50 and 9,804.18

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Solution

The fourth proportional to 16,873.66, 23,288.50 and 9,804.18 is: 13,531.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,873.66 : 23,288.50 = 9,804.18 : x
  2. Step 2: Convert to fraction form
    16,873.66/23,288.50 = 9,804.18/x
  3. Step 3: Cross multiply
    16,873.66x = 23,288.50 × 9,804.18
  4. Step 4: Simplify right side
    16,873.66x = 228,324,745.52
  5. Step 5: Solve for x
    x = 228,324,745.52/16,873.66
  6. Step 6: Final answer
    x = 13,531.43

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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.