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Finding the Fourth Proportional to 13,174.57, 19,761.86 and 5,383.38

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Solution

The fourth proportional to 13,174.57, 19,761.86 and 5,383.38 is: 8,075.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,174.57 : 19,761.86 = 5,383.38 : x
  2. Step 2: Convert to fraction form
    13,174.57/19,761.86 = 5,383.38/x
  3. Step 3: Cross multiply
    13,174.57x = 19,761.86 × 5,383.38
  4. Step 4: Simplify right side
    13,174.57x = 106,385,601.89
  5. Step 5: Solve for x
    x = 106,385,601.89/13,174.57
  6. Step 6: Final answer
    x = 8,075.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.