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Finding the Fourth Proportional to 17,686, 24,406.68 and 10,234

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Solution

The fourth proportional to 17,686, 24,406.68 and 10,234 is: 14,122.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,686 : 24,406.68 = 10,234 : x
  2. Step 2: Convert to fraction form
    17,686/24,406.68 = 10,234/x
  3. Step 3: Cross multiply
    17,686x = 24,406.68 × 10,234
  4. Step 4: Simplify right side
    17,686x = 249,777,963.12
  5. Step 5: Solve for x
    x = 249,777,963.12/17,686
  6. Step 6: Final answer
    x = 14,122.92

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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.