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Finding the Fourth Proportional to 16,421.85, 24,626.43 and 5,326.92

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Solution

The fourth proportional to 16,421.85, 24,626.43 and 5,326.92 is: 7,988.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,421.85 : 24,626.43 = 5,326.92 : x
  2. Step 2: Convert to fraction form
    16,421.85/24,626.43 = 5,326.92/x
  3. Step 3: Cross multiply
    16,421.85x = 24,626.43 × 5,326.92
  4. Step 4: Simplify right side
    16,421.85x = 131,183,022.50
  5. Step 5: Solve for x
    x = 131,183,022.50/16,421.85
  6. Step 6: Final answer
    x = 7,988.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.