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Finding the Fourth Proportional to 25,980.48, 35,855.24 and 14,649.39

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Solution

The fourth proportional to 25,980.48, 35,855.24 and 14,649.39 is: 20,217.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,980.48 : 35,855.24 = 14,649.39 : x
  2. Step 2: Convert to fraction form
    25,980.48/35,855.24 = 14,649.39/x
  3. Step 3: Cross multiply
    25,980.48x = 35,855.24 × 14,649.39
  4. Step 4: Simplify right side
    25,980.48x = 525,257,321.06
  5. Step 5: Solve for x
    x = 525,257,321.06/25,980.48
  6. Step 6: Final answer
    x = 20,217.38

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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.