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Finding the Fourth Proportional to 17,033.76, 23,503 and 10,742.48

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Solution

The fourth proportional to 17,033.76, 23,503 and 10,742.48 is: 14,822.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,033.76 : 23,503 = 10,742.48 : x
  2. Step 2: Convert to fraction form
    17,033.76/23,503 = 10,742.48/x
  3. Step 3: Cross multiply
    17,033.76x = 23,503 × 10,742.48
  4. Step 4: Simplify right side
    17,033.76x = 252,480,507.44
  5. Step 5: Solve for x
    x = 252,480,507.44/17,033.76
  6. Step 6: Final answer
    x = 14,822.36

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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.