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Finding the Fourth Proportional to 13,757.16, 18,984.36 and 7,787.64

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Solution

The fourth proportional to 13,757.16, 18,984.36 and 7,787.64 is: 10,746.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,757.16 : 18,984.36 = 7,787.64 : x
  2. Step 2: Convert to fraction form
    13,757.16/18,984.36 = 7,787.64/x
  3. Step 3: Cross multiply
    13,757.16x = 18,984.36 × 7,787.64
  4. Step 4: Simplify right side
    13,757.16x = 147,843,361.31
  5. Step 5: Solve for x
    x = 147,843,361.31/13,757.16
  6. Step 6: Final answer
    x = 10,746.65

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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.