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Finding the Fourth Proportional to 16,619.23, 24,938.16 and 8,827.84

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Solution

The fourth proportional to 16,619.23, 24,938.16 and 8,827.84 is: 13,246.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,619.23 : 24,938.16 = 8,827.84 : x
  2. Step 2: Convert to fraction form
    16,619.23/24,938.16 = 8,827.84/x
  3. Step 3: Cross multiply
    16,619.23x = 24,938.16 × 8,827.84
  4. Step 4: Simplify right side
    16,619.23x = 220,150,086.37
  5. Step 5: Solve for x
    x = 220,150,086.37/16,619.23
  6. Step 6: Final answer
    x = 13,246.71

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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.