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Finding the Fourth Proportional to 17,842.82, 24,623.29 and 9,776.70

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Solution

The fourth proportional to 17,842.82, 24,623.29 and 9,776.70 is: 13,491.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,842.82 : 24,623.29 = 9,776.70 : x
  2. Step 2: Convert to fraction form
    17,842.82/24,623.29 = 9,776.70/x
  3. Step 3: Cross multiply
    17,842.82x = 24,623.29 × 9,776.70
  4. Step 4: Simplify right side
    17,842.82x = 240,734,531.56
  5. Step 5: Solve for x
    x = 240,734,531.56/17,842.82
  6. Step 6: Final answer
    x = 13,491.96

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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.