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Finding the Fourth Proportional to 17,677.35, 26,512.83 and 7,146.94

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Solution

The fourth proportional to 17,677.35, 26,512.83 and 7,146.94 is: 10,719.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,677.35 : 26,512.83 = 7,146.94 : x
  2. Step 2: Convert to fraction form
    17,677.35/26,512.83 = 7,146.94/x
  3. Step 3: Cross multiply
    17,677.35x = 26,512.83 × 7,146.94
  4. Step 4: Simplify right side
    17,677.35x = 189,485,605.24
  5. Step 5: Solve for x
    x = 189,485,605.24/17,677.35
  6. Step 6: Final answer
    x = 10,719.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.