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Finding the Fourth Proportional to 17,693.82, 24,426.87 and 13,705.98

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Solution

The fourth proportional to 17,693.82, 24,426.87 and 13,705.98 is: 18,921.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,693.82 : 24,426.87 = 13,705.98 : x
  2. Step 2: Convert to fraction form
    17,693.82/24,426.87 = 13,705.98/x
  3. Step 3: Cross multiply
    17,693.82x = 24,426.87 × 13,705.98
  4. Step 4: Simplify right side
    17,693.82x = 334,794,191.68
  5. Step 5: Solve for x
    x = 334,794,191.68/17,693.82
  6. Step 6: Final answer
    x = 18,921.53

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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.