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Finding the Fourth Proportional to 17,214.73, 23,757.50 and 9,661.68

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Solution

The fourth proportional to 17,214.73, 23,757.50 and 9,661.68 is: 13,333.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,214.73 : 23,757.50 = 9,661.68 : x
  2. Step 2: Convert to fraction form
    17,214.73/23,757.50 = 9,661.68/x
  3. Step 3: Cross multiply
    17,214.73x = 23,757.50 × 9,661.68
  4. Step 4: Simplify right side
    17,214.73x = 229,537,386.75
  5. Step 5: Solve for x
    x = 229,537,386.75/17,214.73
  6. Step 6: Final answer
    x = 13,333.78

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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.