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Finding the Fourth Proportional to 13,751.90, 18,977.66 and 7,464.27

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Solution

The fourth proportional to 13,751.90, 18,977.66 and 7,464.27 is: 10,300.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,751.90 : 18,977.66 = 7,464.27 : x
  2. Step 2: Convert to fraction form
    13,751.90/18,977.66 = 7,464.27/x
  3. Step 3: Cross multiply
    13,751.90x = 18,977.66 × 7,464.27
  4. Step 4: Simplify right side
    13,751.90x = 141,654,378.21
  5. Step 5: Solve for x
    x = 141,654,378.21/13,751.90
  6. Step 6: Final answer
    x = 10,300.71

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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.