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Finding the Fourth Proportional to 11,660.85, 17,476.70 and 9,185.90

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Solution

The fourth proportional to 11,660.85, 17,476.70 and 9,185.90 is: 13,767.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,660.85 : 17,476.70 = 9,185.90 : x
  2. Step 2: Convert to fraction form
    11,660.85/17,476.70 = 9,185.90/x
  3. Step 3: Cross multiply
    11,660.85x = 17,476.70 × 9,185.90
  4. Step 4: Simplify right side
    11,660.85x = 160,539,085.22
  5. Step 5: Solve for x
    x = 160,539,085.22/11,660.85
  6. Step 6: Final answer
    x = 13,767.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.