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Finding the Fourth Proportional to 16,634.21, 24,938.06 and 9,606.25

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Solution

The fourth proportional to 16,634.21, 24,938.06 and 9,606.25 is: 14,401.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,634.21 : 24,938.06 = 9,606.25 : x
  2. Step 2: Convert to fraction form
    16,634.21/24,938.06 = 9,606.25/x
  3. Step 3: Cross multiply
    16,634.21x = 24,938.06 × 9,606.25
  4. Step 4: Simplify right side
    16,634.21x = 239,561,238.88
  5. Step 5: Solve for x
    x = 239,561,238.88/16,634.21
  6. Step 6: Final answer
    x = 14,401.72

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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.