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Finding the Fourth Proportional to 13,184.70, 18,194.82 and 7,810.80

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Solution

The fourth proportional to 13,184.70, 18,194.82 and 7,810.80 is: 10,778.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,184.70 : 18,194.82 = 7,810.80 : x
  2. Step 2: Convert to fraction form
    13,184.70/18,194.82 = 7,810.80/x
  3. Step 3: Cross multiply
    13,184.70x = 18,194.82 × 7,810.80
  4. Step 4: Simplify right side
    13,184.70x = 142,116,100.06
  5. Step 5: Solve for x
    x = 142,116,100.06/13,184.70
  6. Step 6: Final answer
    x = 10,778.86

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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.