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Finding the Fourth Proportional to 17,048.64, 23,527.11 and 9,976.44

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Solution

The fourth proportional to 17,048.64, 23,527.11 and 9,976.44 is: 13,767.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,048.64 : 23,527.11 = 9,976.44 : x
  2. Step 2: Convert to fraction form
    17,048.64/23,527.11 = 9,976.44/x
  3. Step 3: Cross multiply
    17,048.64x = 23,527.11 × 9,976.44
  4. Step 4: Simplify right side
    17,048.64x = 234,716,801.29
  5. Step 5: Solve for x
    x = 234,716,801.29/17,048.64
  6. Step 6: Final answer
    x = 13,767.48

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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.