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Finding the Fourth Proportional to 17,930.09, 24,741.63 and 9,971.03

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Solution

The fourth proportional to 17,930.09, 24,741.63 and 9,971.03 is: 13,758.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,930.09 : 24,741.63 = 9,971.03 : x
  2. Step 2: Convert to fraction form
    17,930.09/24,741.63 = 9,971.03/x
  3. Step 3: Cross multiply
    17,930.09x = 24,741.63 × 9,971.03
  4. Step 4: Simplify right side
    17,930.09x = 246,699,534.98
  5. Step 5: Solve for x
    x = 246,699,534.98/17,930.09
  6. Step 6: Final answer
    x = 13,758.97

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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.