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Finding the Fourth Proportional to 13,746.80, 18,969.63 and 7,778.31

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Solution

The fourth proportional to 13,746.80, 18,969.63 and 7,778.31 is: 10,733.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,746.80 : 18,969.63 = 7,778.31 : x
  2. Step 2: Convert to fraction form
    13,746.80/18,969.63 = 7,778.31/x
  3. Step 3: Cross multiply
    13,746.80x = 18,969.63 × 7,778.31
  4. Step 4: Simplify right side
    13,746.80x = 147,551,662.73
  5. Step 5: Solve for x
    x = 147,551,662.73/13,746.80
  6. Step 6: Final answer
    x = 10,733.53

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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.