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Finding the Fourth Proportional to 17,231.63, 23,780.07 and 9,677.98

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Solution

The fourth proportional to 17,231.63, 23,780.07 and 9,677.98 is: 13,355.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,231.63 : 23,780.07 = 9,677.98 : x
  2. Step 2: Convert to fraction form
    17,231.63/23,780.07 = 9,677.98/x
  3. Step 3: Cross multiply
    17,231.63x = 23,780.07 × 9,677.98
  4. Step 4: Simplify right side
    17,231.63x = 230,142,874.57
  5. Step 5: Solve for x
    x = 230,142,874.57/17,231.63
  6. Step 6: Final answer
    x = 13,355.84

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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.