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Finding the Fourth Proportional to 17,958.38, 24,782.60 and 10,406.17

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Solution

The fourth proportional to 17,958.38, 24,782.60 and 10,406.17 is: 14,360.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,958.38 : 24,782.60 = 10,406.17 : x
  2. Step 2: Convert to fraction form
    17,958.38/24,782.60 = 10,406.17/x
  3. Step 3: Cross multiply
    17,958.38x = 24,782.60 × 10,406.17
  4. Step 4: Simplify right side
    17,958.38x = 257,891,998.32
  5. Step 5: Solve for x
    x = 257,891,998.32/17,958.38
  6. Step 6: Final answer
    x = 14,360.54

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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.