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Finding the Fourth Proportional to 17,701.49, 24,428.04 and 9,744.23

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Solution

The fourth proportional to 17,701.49, 24,428.04 and 9,744.23 is: 13,447.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,701.49 : 24,428.04 = 9,744.23 : x
  2. Step 2: Convert to fraction form
    17,701.49/24,428.04 = 9,744.23/x
  3. Step 3: Cross multiply
    17,701.49x = 24,428.04 × 9,744.23
  4. Step 4: Simplify right side
    17,701.49x = 238,032,327.33
  5. Step 5: Solve for x
    x = 238,032,327.33/17,701.49
  6. Step 6: Final answer
    x = 13,447.02

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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.