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Finding the Fourth Proportional to 16,402.44, 24,606.82 and 5,311.88

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Solution

The fourth proportional to 16,402.44, 24,606.82 and 5,311.88 is: 7,968.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,402.44 : 24,606.82 = 5,311.88 : x
  2. Step 2: Convert to fraction form
    16,402.44/24,606.82 = 5,311.88/x
  3. Step 3: Cross multiply
    16,402.44x = 24,606.82 × 5,311.88
  4. Step 4: Simplify right side
    16,402.44x = 130,708,475.02
  5. Step 5: Solve for x
    x = 130,708,475.02/16,402.44
  6. Step 6: Final answer
    x = 7,968.84

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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.