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Finding the Fourth Proportional to 21,522.68, 32,284.04 and 5,940.32

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Solution

The fourth proportional to 21,522.68, 32,284.04 and 5,940.32 is: 8,910.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,522.68 : 32,284.04 = 5,940.32 : x
  2. Step 2: Convert to fraction form
    21,522.68/32,284.04 = 5,940.32/x
  3. Step 3: Cross multiply
    21,522.68x = 32,284.04 × 5,940.32
  4. Step 4: Simplify right side
    21,522.68x = 191,777,528.49
  5. Step 5: Solve for x
    x = 191,777,528.49/21,522.68
  6. Step 6: Final answer
    x = 8,910.49

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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.