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Finding the Fourth Proportional to 17,186.50, 23,718.31 and 9,632.39

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Solution

The fourth proportional to 17,186.50, 23,718.31 and 9,632.39 is: 13,293.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,186.50 : 23,718.31 = 9,632.39 : x
  2. Step 2: Convert to fraction form
    17,186.50/23,718.31 = 9,632.39/x
  3. Step 3: Cross multiply
    17,186.50x = 23,718.31 × 9,632.39
  4. Step 4: Simplify right side
    17,186.50x = 228,464,047.28
  5. Step 5: Solve for x
    x = 228,464,047.28/17,186.50
  6. Step 6: Final answer
    x = 13,293.23

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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.