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Finding the Fourth Proportional to 24,501.72, 33,806.46 and 15,546

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Solution

The fourth proportional to 24,501.72, 33,806.46 and 15,546 is: 21,449.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,501.72 : 33,806.46 = 15,546 : x
  2. Step 2: Convert to fraction form
    24,501.72/33,806.46 = 15,546/x
  3. Step 3: Cross multiply
    24,501.72x = 33,806.46 × 15,546
  4. Step 4: Simplify right side
    24,501.72x = 525,555,227.16
  5. Step 5: Solve for x
    x = 525,555,227.16/24,501.72
  6. Step 6: Final answer
    x = 21,449.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.