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Finding the Fourth Proportional to 17,120.78, 23,633.95 and 10,408.55

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Solution

The fourth proportional to 17,120.78, 23,633.95 and 10,408.55 is: 14,368.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,120.78 : 23,633.95 = 10,408.55 : x
  2. Step 2: Convert to fraction form
    17,120.78/23,633.95 = 10,408.55/x
  3. Step 3: Cross multiply
    17,120.78x = 23,633.95 × 10,408.55
  4. Step 4: Simplify right side
    17,120.78x = 245,995,150.27
  5. Step 5: Solve for x
    x = 245,995,150.27/17,120.78
  6. Step 6: Final answer
    x = 14,368.22

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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.