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Finding the Fourth Proportional to 29,716.50, 41,009.99 and 17,141.25

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Solution

The fourth proportional to 29,716.50, 41,009.99 and 17,141.25 is: 23,655.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,716.50 : 41,009.99 = 17,141.25 : x
  2. Step 2: Convert to fraction form
    29,716.50/41,009.99 = 17,141.25/x
  3. Step 3: Cross multiply
    29,716.50x = 41,009.99 × 17,141.25
  4. Step 4: Simplify right side
    29,716.50x = 702,962,405.38
  5. Step 5: Solve for x
    x = 702,962,405.38/29,716.50
  6. Step 6: Final answer
    x = 23,655.63

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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.