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Finding the Fourth Proportional to 16,421.68, 24,626.16 and 5,325.70

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Solution

The fourth proportional to 16,421.68, 24,626.16 and 5,325.70 is: 7,986.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,421.68 : 24,626.16 = 5,325.70 : x
  2. Step 2: Convert to fraction form
    16,421.68/24,626.16 = 5,325.70/x
  3. Step 3: Cross multiply
    16,421.68x = 24,626.16 × 5,325.70
  4. Step 4: Simplify right side
    16,421.68x = 131,151,540.31
  5. Step 5: Solve for x
    x = 131,151,540.31/16,421.68
  6. Step 6: Final answer
    x = 7,986.49

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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.