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Finding the Fourth Proportional to 21,451.33, 32,163.97 and 9,602.89

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Solution

The fourth proportional to 21,451.33, 32,163.97 and 9,602.89 is: 14,398.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,451.33 : 32,163.97 = 9,602.89 : x
  2. Step 2: Convert to fraction form
    21,451.33/32,163.97 = 9,602.89/x
  3. Step 3: Cross multiply
    21,451.33x = 32,163.97 × 9,602.89
  4. Step 4: Simplify right side
    21,451.33x = 308,867,065.87
  5. Step 5: Solve for x
    x = 308,867,065.87/21,451.33
  6. Step 6: Final answer
    x = 14,398.50

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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.