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Finding the Fourth Proportional to 17,629.25, 26,441.04 and 5,146.34

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Solution

The fourth proportional to 17,629.25, 26,441.04 and 5,146.34 is: 7,718.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,629.25 : 26,441.04 = 5,146.34 : x
  2. Step 2: Convert to fraction form
    17,629.25/26,441.04 = 5,146.34/x
  3. Step 3: Cross multiply
    17,629.25x = 26,441.04 × 5,146.34
  4. Step 4: Simplify right side
    17,629.25x = 136,074,581.79
  5. Step 5: Solve for x
    x = 136,074,581.79/17,629.25
  6. Step 6: Final answer
    x = 7,718.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.