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Finding the Fourth Proportional to 16,138.85, 24,214.49 and 5,609.96

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Solution

The fourth proportional to 16,138.85, 24,214.49 and 5,609.96 is: 8,417.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,138.85 : 24,214.49 = 5,609.96 : x
  2. Step 2: Convert to fraction form
    16,138.85/24,214.49 = 5,609.96/x
  3. Step 3: Cross multiply
    16,138.85x = 24,214.49 × 5,609.96
  4. Step 4: Simplify right side
    16,138.85x = 135,842,314.60
  5. Step 5: Solve for x
    x = 135,842,314.60/16,138.85
  6. Step 6: Final answer
    x = 8,417.10

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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.