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Finding the Fourth Proportional to 21,796.96, 32,700 and 7,006.84

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Solution

The fourth proportional to 21,796.96, 32,700 and 7,006.84 is: 10,511.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,796.96 : 32,700 = 7,006.84 : x
  2. Step 2: Convert to fraction form
    21,796.96/32,700 = 7,006.84/x
  3. Step 3: Cross multiply
    21,796.96x = 32,700 × 7,006.84
  4. Step 4: Simplify right side
    21,796.96x = 229,123,668
  5. Step 5: Solve for x
    x = 229,123,668/21,796.96
  6. Step 6: Final answer
    x = 10,511.73

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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.