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Finding the Fourth Proportional to 17,751, 24,496.38 and 10,300.44

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Solution

The fourth proportional to 17,751, 24,496.38 and 10,300.44 is: 14,214.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,751 : 24,496.38 = 10,300.44 : x
  2. Step 2: Convert to fraction form
    17,751/24,496.38 = 10,300.44/x
  3. Step 3: Cross multiply
    17,751x = 24,496.38 × 10,300.44
  4. Step 4: Simplify right side
    17,751x = 252,323,492.41
  5. Step 5: Solve for x
    x = 252,323,492.41/17,751
  6. Step 6: Final answer
    x = 14,214.61

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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.