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Finding the Fourth Proportional to 13,754.89, 18,980.76 and 7,787.23

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Solution

The fourth proportional to 13,754.89, 18,980.76 and 7,787.23 is: 10,745.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,754.89 : 18,980.76 = 7,787.23 : x
  2. Step 2: Convert to fraction form
    13,754.89/18,980.76 = 7,787.23/x
  3. Step 3: Cross multiply
    13,754.89x = 18,980.76 × 7,787.23
  4. Step 4: Simplify right side
    13,754.89x = 147,807,543.69
  5. Step 5: Solve for x
    x = 147,807,543.69/13,754.89
  6. Step 6: Final answer
    x = 10,745.82

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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.