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Finding the Fourth Proportional to 13,757.86, 18,984.81 and 7,788.16

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Solution

The fourth proportional to 13,757.86, 18,984.81 and 7,788.16 is: 10,747.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,757.86 : 18,984.81 = 7,788.16 : x
  2. Step 2: Convert to fraction form
    13,757.86/18,984.81 = 7,788.16/x
  3. Step 3: Cross multiply
    13,757.86x = 18,984.81 × 7,788.16
  4. Step 4: Simplify right side
    13,757.86x = 147,856,737.85
  5. Step 5: Solve for x
    x = 147,856,737.85/13,757.86
  6. Step 6: Final answer
    x = 10,747.07

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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.