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Finding the Fourth Proportional to 17,259.38, 23,824.30 and 15,157.30

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Solution

The fourth proportional to 17,259.38, 23,824.30 and 15,157.30 is: 20,922.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,259.38 : 23,824.30 = 15,157.30 : x
  2. Step 2: Convert to fraction form
    17,259.38/23,824.30 = 15,157.30/x
  3. Step 3: Cross multiply
    17,259.38x = 23,824.30 × 15,157.30
  4. Step 4: Simplify right side
    17,259.38x = 361,112,062.39
  5. Step 5: Solve for x
    x = 361,112,062.39/17,259.38
  6. Step 6: Final answer
    x = 20,922.66

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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.