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Finding the Fourth Proportional to 13,756.38, 18,984.24 and 7,787.94

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Solution

The fourth proportional to 13,756.38, 18,984.24 and 7,787.94 is: 10,747.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,756.38 : 18,984.24 = 7,787.94 : x
  2. Step 2: Convert to fraction form
    13,756.38/18,984.24 = 7,787.94/x
  3. Step 3: Cross multiply
    13,756.38x = 18,984.24 × 7,787.94
  4. Step 4: Simplify right side
    13,756.38x = 147,848,122.07
  5. Step 5: Solve for x
    x = 147,848,122.07/13,756.38
  6. Step 6: Final answer
    x = 10,747.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.