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Finding the Fourth Proportional to 17,364.06, 23,962.38 and 9,406.32

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Solution

The fourth proportional to 17,364.06, 23,962.38 and 9,406.32 is: 12,980.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,364.06 : 23,962.38 = 9,406.32 : x
  2. Step 2: Convert to fraction form
    17,364.06/23,962.38 = 9,406.32/x
  3. Step 3: Cross multiply
    17,364.06x = 23,962.38 × 9,406.32
  4. Step 4: Simplify right side
    17,364.06x = 225,397,814.24
  5. Step 5: Solve for x
    x = 225,397,814.24/17,364.06
  6. Step 6: Final answer
    x = 12,980.71

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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.