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Finding the Fourth Proportional to 17,537.92, 26,315.52 and 7,144

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Solution

The fourth proportional to 17,537.92, 26,315.52 and 7,144 is: 10,719.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,537.92 : 26,315.52 = 7,144 : x
  2. Step 2: Convert to fraction form
    17,537.92/26,315.52 = 7,144/x
  3. Step 3: Cross multiply
    17,537.92x = 26,315.52 × 7,144
  4. Step 4: Simplify right side
    17,537.92x = 187,998,074.88
  5. Step 5: Solve for x
    x = 187,998,074.88/17,537.92
  6. Step 6: Final answer
    x = 10,719.52

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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.