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Finding the Fourth Proportional to 17,762.76, 26,629.99 and 10,257.81

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Solution

The fourth proportional to 17,762.76, 26,629.99 and 10,257.81 is: 15,378.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,762.76 : 26,629.99 = 10,257.81 : x
  2. Step 2: Convert to fraction form
    17,762.76/26,629.99 = 10,257.81/x
  3. Step 3: Cross multiply
    17,762.76x = 26,629.99 × 10,257.81
  4. Step 4: Simplify right side
    17,762.76x = 273,165,377.72
  5. Step 5: Solve for x
    x = 273,165,377.72/17,762.76
  6. Step 6: Final answer
    x = 15,378.54

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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.