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Finding the Fourth Proportional to 17,613, 24,306 and 10,161

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Solution

The fourth proportional to 17,613, 24,306 and 10,161 is: 14,022.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,613 : 24,306 = 10,161 : x
  2. Step 2: Convert to fraction form
    17,613/24,306 = 10,161/x
  3. Step 3: Cross multiply
    17,613x = 24,306 × 10,161
  4. Step 4: Simplify right side
    17,613x = 246,973,266
  5. Step 5: Solve for x
    x = 246,973,266/17,613
  6. Step 6: Final answer
    x = 14,022.21

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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.