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Finding the Fourth Proportional to 13,728.88, 18,945.74 and 7,761.72

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Solution

The fourth proportional to 13,728.88, 18,945.74 and 7,761.72 is: 10,711.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,728.88 : 18,945.74 = 7,761.72 : x
  2. Step 2: Convert to fraction form
    13,728.88/18,945.74 = 7,761.72/x
  3. Step 3: Cross multiply
    13,728.88x = 18,945.74 × 7,761.72
  4. Step 4: Simplify right side
    13,728.88x = 147,051,548.48
  5. Step 5: Solve for x
    x = 147,051,548.48/13,728.88
  6. Step 6: Final answer
    x = 10,711.11

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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.