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Finding the Fourth Proportional to 13,013.85, 17,963.81 and 8,539.04

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Solution

The fourth proportional to 13,013.85, 17,963.81 and 8,539.04 is: 11,786.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,013.85 : 17,963.81 = 8,539.04 : x
  2. Step 2: Convert to fraction form
    13,013.85/17,963.81 = 8,539.04/x
  3. Step 3: Cross multiply
    13,013.85x = 17,963.81 × 8,539.04
  4. Step 4: Simplify right side
    13,013.85x = 153,393,699.25
  5. Step 5: Solve for x
    x = 153,393,699.25/13,013.85
  6. Step 6: Final answer
    x = 11,786.96

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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.