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Finding the Fourth Proportional to 16,402.34, 24,610.72 and 8,609.34

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Solution

The fourth proportional to 16,402.34, 24,610.72 and 8,609.34 is: 12,917.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,402.34 : 24,610.72 = 8,609.34 : x
  2. Step 2: Convert to fraction form
    16,402.34/24,610.72 = 8,609.34/x
  3. Step 3: Cross multiply
    16,402.34x = 24,610.72 × 8,609.34
  4. Step 4: Simplify right side
    16,402.34x = 211,882,056.12
  5. Step 5: Solve for x
    x = 211,882,056.12/16,402.34
  6. Step 6: Final answer
    x = 12,917.79

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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.