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Finding the Fourth Proportional to 15,636.50, 23,457.17 and 5,250.68

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Solution

The fourth proportional to 15,636.50, 23,457.17 and 5,250.68 is: 7,876.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,636.50 : 23,457.17 = 5,250.68 : x
  2. Step 2: Convert to fraction form
    15,636.50/23,457.17 = 5,250.68/x
  3. Step 3: Cross multiply
    15,636.50x = 23,457.17 × 5,250.68
  4. Step 4: Simplify right side
    15,636.50x = 123,165,976.09
  5. Step 5: Solve for x
    x = 123,165,976.09/15,636.50
  6. Step 6: Final answer
    x = 7,876.83

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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.