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Finding the Fourth Proportional to 17,781, 24,539.94 and 10,329

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Solution

The fourth proportional to 17,781, 24,539.94 and 10,329 is: 14,255.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,781 : 24,539.94 = 10,329 : x
  2. Step 2: Convert to fraction form
    17,781/24,539.94 = 10,329/x
  3. Step 3: Cross multiply
    17,781x = 24,539.94 × 10,329
  4. Step 4: Simplify right side
    17,781x = 253,473,040.26
  5. Step 5: Solve for x
    x = 253,473,040.26/17,781
  6. Step 6: Final answer
    x = 14,255.27

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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.