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Finding the Fourth Proportional to 13,490.67, 18,615.78 and 8,185.17

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Solution

The fourth proportional to 13,490.67, 18,615.78 and 8,185.17 is: 11,294.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,490.67 : 18,615.78 = 8,185.17 : x
  2. Step 2: Convert to fraction form
    13,490.67/18,615.78 = 8,185.17/x
  3. Step 3: Cross multiply
    13,490.67x = 18,615.78 × 8,185.17
  4. Step 4: Simplify right side
    13,490.67x = 152,373,323.98
  5. Step 5: Solve for x
    x = 152,373,323.98/13,490.67
  6. Step 6: Final answer
    x = 11,294.72

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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.