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Finding the Fourth Proportional to 20,839.20, 29,233.20 and 20,839.20

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Solution

The fourth proportional to 20,839.20, 29,233.20 and 20,839.20 is: 29,233.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,839.20 : 29,233.20 = 20,839.20 : x
  2. Step 2: Convert to fraction form
    20,839.20/29,233.20 = 20,839.20/x
  3. Step 3: Cross multiply
    20,839.20x = 29,233.20 × 20,839.20
  4. Step 4: Simplify right side
    20,839.20x = 609,196,501.44
  5. Step 5: Solve for x
    x = 609,196,501.44/20,839.20
  6. Step 6: Final answer
    x = 29,233.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.