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Finding the Fourth Proportional to 17,762, 24,511.56 and 10,310

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Solution

The fourth proportional to 17,762, 24,511.56 and 10,310 is: 14,227.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,762 : 24,511.56 = 10,310 : x
  2. Step 2: Convert to fraction form
    17,762/24,511.56 = 10,310/x
  3. Step 3: Cross multiply
    17,762x = 24,511.56 × 10,310
  4. Step 4: Simplify right side
    17,762x = 252,714,183.60
  5. Step 5: Solve for x
    x = 252,714,183.60/17,762
  6. Step 6: Final answer
    x = 14,227.80

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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.