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Finding the Fourth Proportional to 13,174.60, 19,761.94 and 5,383.41

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Solution

The fourth proportional to 13,174.60, 19,761.94 and 5,383.41 is: 8,075.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,174.60 : 19,761.94 = 5,383.41 : x
  2. Step 2: Convert to fraction form
    13,174.60/19,761.94 = 5,383.41/x
  3. Step 3: Cross multiply
    13,174.60x = 19,761.94 × 5,383.41
  4. Step 4: Simplify right side
    13,174.60x = 106,386,675.97
  5. Step 5: Solve for x
    x = 106,386,675.97/13,174.60
  6. Step 6: Final answer
    x = 8,075.13

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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.