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Finding the Fourth Proportional to 17,451.70, 24,083.57 and 9,494.14

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Solution

The fourth proportional to 17,451.70, 24,083.57 and 9,494.14 is: 13,102.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,451.70 : 24,083.57 = 9,494.14 : x
  2. Step 2: Convert to fraction form
    17,451.70/24,083.57 = 9,494.14/x
  3. Step 3: Cross multiply
    17,451.70x = 24,083.57 × 9,494.14
  4. Step 4: Simplify right side
    17,451.70x = 228,652,785.28
  5. Step 5: Solve for x
    x = 228,652,785.28/17,451.70
  6. Step 6: Final answer
    x = 13,102.04

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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.