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Finding the Fourth Proportional to 17,383.68, 26,078.76 and 6,996.24

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Solution

The fourth proportional to 17,383.68, 26,078.76 and 6,996.24 is: 10,495.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,383.68 : 26,078.76 = 6,996.24 : x
  2. Step 2: Convert to fraction form
    17,383.68/26,078.76 = 6,996.24/x
  3. Step 3: Cross multiply
    17,383.68x = 26,078.76 × 6,996.24
  4. Step 4: Simplify right side
    17,383.68x = 182,453,263.86
  5. Step 5: Solve for x
    x = 182,453,263.86/17,383.68
  6. Step 6: Final answer
    x = 10,495.66

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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.