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Finding the Fourth Proportional to 23,215.50, 34,829.01 and 6,799.50

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Solution

The fourth proportional to 23,215.50, 34,829.01 and 6,799.50 is: 10,200.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,215.50 : 34,829.01 = 6,799.50 : x
  2. Step 2: Convert to fraction form
    23,215.50/34,829.01 = 6,799.50/x
  3. Step 3: Cross multiply
    23,215.50x = 34,829.01 × 6,799.50
  4. Step 4: Simplify right side
    23,215.50x = 236,819,853.50
  5. Step 5: Solve for x
    x = 236,819,853.50/23,215.50
  6. Step 6: Final answer
    x = 10,200.94

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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.