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Finding the Fourth Proportional to 16,540.81, 22,824.65 and 9,370.15

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Solution

The fourth proportional to 16,540.81, 22,824.65 and 9,370.15 is: 12,929.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,540.81 : 22,824.65 = 9,370.15 : x
  2. Step 2: Convert to fraction form
    16,540.81/22,824.65 = 9,370.15/x
  3. Step 3: Cross multiply
    16,540.81x = 22,824.65 × 9,370.15
  4. Step 4: Simplify right side
    16,540.81x = 213,870,360.56
  5. Step 5: Solve for x
    x = 213,870,360.56/16,540.81
  6. Step 6: Final answer
    x = 12,929.86

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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.