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Finding the Fourth Proportional to 11,709.97, 17,480.08 and 10,842.87

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Solution

The fourth proportional to 11,709.97, 17,480.08 and 10,842.87 is: 16,185.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,709.97 : 17,480.08 = 10,842.87 : x
  2. Step 2: Convert to fraction form
    11,709.97/17,480.08 = 10,842.87/x
  3. Step 3: Cross multiply
    11,709.97x = 17,480.08 × 10,842.87
  4. Step 4: Simplify right side
    11,709.97x = 189,534,174.74
  5. Step 5: Solve for x
    x = 189,534,174.74/11,709.97
  6. Step 6: Final answer
    x = 16,185.71

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.