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Finding the Fourth Proportional to 20,342.36, 30,513.54 and 6,491

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Solution

The fourth proportional to 20,342.36, 30,513.54 and 6,491 is: 9,736.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,342.36 : 30,513.54 = 6,491 : x
  2. Step 2: Convert to fraction form
    20,342.36/30,513.54 = 6,491/x
  3. Step 3: Cross multiply
    20,342.36x = 30,513.54 × 6,491
  4. Step 4: Simplify right side
    20,342.36x = 198,063,388.14
  5. Step 5: Solve for x
    x = 198,063,388.14/20,342.36
  6. Step 6: Final answer
    x = 9,736.50

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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.