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Finding the Fourth Proportional to 17,735.09, 24,473.75 and 9,776.84

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Solution

The fourth proportional to 17,735.09, 24,473.75 and 9,776.84 is: 13,491.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,735.09 : 24,473.75 = 9,776.84 : x
  2. Step 2: Convert to fraction form
    17,735.09/24,473.75 = 9,776.84/x
  3. Step 3: Cross multiply
    17,735.09x = 24,473.75 × 9,776.84
  4. Step 4: Simplify right side
    17,735.09x = 239,275,766.70
  5. Step 5: Solve for x
    x = 239,275,766.70/17,735.09
  6. Step 6: Final answer
    x = 13,491.66

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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.