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Finding the Fourth Proportional to 13,751.37, 18,977.63 and 7,784.37

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Solution

The fourth proportional to 13,751.37, 18,977.63 and 7,784.37 is: 10,742.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,751.37 : 18,977.63 = 7,784.37 : x
  2. Step 2: Convert to fraction form
    13,751.37/18,977.63 = 7,784.37/x
  3. Step 3: Cross multiply
    13,751.37x = 18,977.63 × 7,784.37
  4. Step 4: Simplify right side
    13,751.37x = 147,728,854.72
  5. Step 5: Solve for x
    x = 147,728,854.72/13,751.37
  6. Step 6: Final answer
    x = 10,742.85

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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.