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Finding the Fourth Proportional to 21,302.67, 31,954.21 and 5,720.30

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Solution

The fourth proportional to 21,302.67, 31,954.21 and 5,720.30 is: 8,580.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,302.67 : 31,954.21 = 5,720.30 : x
  2. Step 2: Convert to fraction form
    21,302.67/31,954.21 = 5,720.30/x
  3. Step 3: Cross multiply
    21,302.67x = 31,954.21 × 5,720.30
  4. Step 4: Simplify right side
    21,302.67x = 182,787,493.39
  5. Step 5: Solve for x
    x = 182,787,493.39/21,302.67
  6. Step 6: Final answer
    x = 8,580.50

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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.