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Finding the Fourth Proportional to 16,525.29, 22,804.92 and 8,971.63

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Solution

The fourth proportional to 16,525.29, 22,804.92 and 8,971.63 is: 12,380.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,525.29 : 22,804.92 = 8,971.63 : x
  2. Step 2: Convert to fraction form
    16,525.29/22,804.92 = 8,971.63/x
  3. Step 3: Cross multiply
    16,525.29x = 22,804.92 × 8,971.63
  4. Step 4: Simplify right side
    16,525.29x = 204,597,247.41
  5. Step 5: Solve for x
    x = 204,597,247.41/16,525.29
  6. Step 6: Final answer
    x = 12,380.86

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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.