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Finding the Fourth Proportional to 17,364.20, 23,962.71 and 9,406.43

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Solution

The fourth proportional to 17,364.20, 23,962.71 and 9,406.43 is: 12,980.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,364.20 : 23,962.71 = 9,406.43 : x
  2. Step 2: Convert to fraction form
    17,364.20/23,962.71 = 9,406.43/x
  3. Step 3: Cross multiply
    17,364.20x = 23,962.71 × 9,406.43
  4. Step 4: Simplify right side
    17,364.20x = 225,403,533.09
  5. Step 5: Solve for x
    x = 225,403,533.09/17,364.20
  6. Step 6: Final answer
    x = 12,980.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.