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Finding the Fourth Proportional to 17,701.17, 24,427.42 and 9,743.22

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Solution

The fourth proportional to 17,701.17, 24,427.42 and 9,743.22 is: 13,445.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,701.17 : 24,427.42 = 9,743.22 : x
  2. Step 2: Convert to fraction form
    17,701.17/24,427.42 = 9,743.22/x
  3. Step 3: Cross multiply
    17,701.17x = 24,427.42 × 9,743.22
  4. Step 4: Simplify right side
    17,701.17x = 238,001,727.09
  5. Step 5: Solve for x
    x = 238,001,727.09/17,701.17
  6. Step 6: Final answer
    x = 13,445.54

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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.