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Finding the Fourth Proportional to 17,630.41, 26,446.50 and 5,785.39

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Solution

The fourth proportional to 17,630.41, 26,446.50 and 5,785.39 is: 8,678.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,630.41 : 26,446.50 = 5,785.39 : x
  2. Step 2: Convert to fraction form
    17,630.41/26,446.50 = 5,785.39/x
  3. Step 3: Cross multiply
    17,630.41x = 26,446.50 × 5,785.39
  4. Step 4: Simplify right side
    17,630.41x = 153,003,316.64
  5. Step 5: Solve for x
    x = 153,003,316.64/17,630.41
  6. Step 6: Final answer
    x = 8,678.38

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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.