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Finding the Fourth Proportional to 13,751.92, 18,977.34 and 7,783.30

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Solution

The fourth proportional to 13,751.92, 18,977.34 and 7,783.30 is: 10,740.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,751.92 : 18,977.34 = 7,783.30 : x
  2. Step 2: Convert to fraction form
    13,751.92/18,977.34 = 7,783.30/x
  3. Step 3: Cross multiply
    13,751.92x = 18,977.34 × 7,783.30
  4. Step 4: Simplify right side
    13,751.92x = 147,706,330.42
  5. Step 5: Solve for x
    x = 147,706,330.42/13,751.92
  6. Step 6: Final answer
    x = 10,740.78

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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.