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Finding the Fourth Proportional to 17,329, 23,914.18 and 9,877.16

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Solution

The fourth proportional to 17,329, 23,914.18 and 9,877.16 is: 13,630.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,329 : 23,914.18 = 9,877.16 : x
  2. Step 2: Convert to fraction form
    17,329/23,914.18 = 9,877.16/x
  3. Step 3: Cross multiply
    17,329x = 23,914.18 × 9,877.16
  4. Step 4: Simplify right side
    17,329x = 236,204,182.13
  5. Step 5: Solve for x
    x = 236,204,182.13/17,329
  6. Step 6: Final answer
    x = 13,630.57

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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.