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Finding the Fourth Proportional to 17,151.70, 25,759.23 and 10,268.50

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Solution

The fourth proportional to 17,151.70, 25,759.23 and 10,268.50 is: 15,421.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,151.70 : 25,759.23 = 10,268.50 : x
  2. Step 2: Convert to fraction form
    17,151.70/25,759.23 = 10,268.50/x
  3. Step 3: Cross multiply
    17,151.70x = 25,759.23 × 10,268.50
  4. Step 4: Simplify right side
    17,151.70x = 264,508,653.26
  5. Step 5: Solve for x
    x = 264,508,653.26/17,151.70
  6. Step 6: Final answer
    x = 15,421.72

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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.