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Finding the Fourth Proportional to 17,255.32, 23,811 and 9,700.24

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Solution

The fourth proportional to 17,255.32, 23,811 and 9,700.24 is: 13,385.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,255.32 : 23,811 = 9,700.24 : x
  2. Step 2: Convert to fraction form
    17,255.32/23,811 = 9,700.24/x
  3. Step 3: Cross multiply
    17,255.32x = 23,811 × 9,700.24
  4. Step 4: Simplify right side
    17,255.32x = 230,972,414.64
  5. Step 5: Solve for x
    x = 230,972,414.64/17,255.32
  6. Step 6: Final answer
    x = 13,385.58

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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.