Home / 16,971.68-23,403.24-10,256

Finding the Fourth Proportional to 16,971.68, 23,403.24 and 10,256

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Solution

The fourth proportional to 16,971.68, 23,403.24 and 10,256 is: 14,142.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,971.68 : 23,403.24 = 10,256 : x
  2. Step 2: Convert to fraction form
    16,971.68/23,403.24 = 10,256/x
  3. Step 3: Cross multiply
    16,971.68x = 23,403.24 × 10,256
  4. Step 4: Simplify right side
    16,971.68x = 240,023,629.44
  5. Step 5: Solve for x
    x = 240,023,629.44/16,971.68
  6. Step 6: Final answer
    x = 14,142.60

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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.