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Finding the Fourth Proportional to 17,364.30, 23,961.31 and 9,811.28

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Solution

The fourth proportional to 17,364.30, 23,961.31 and 9,811.28 is: 13,538.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,364.30 : 23,961.31 = 9,811.28 : x
  2. Step 2: Convert to fraction form
    17,364.30/23,961.31 = 9,811.28/x
  3. Step 3: Cross multiply
    17,364.30x = 23,961.31 × 9,811.28
  4. Step 4: Simplify right side
    17,364.30x = 235,091,121.58
  5. Step 5: Solve for x
    x = 235,091,121.58/17,364.30
  6. Step 6: Final answer
    x = 13,538.76

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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.