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Finding the Fourth Proportional to 13,179.33, 19,766.14 and 4,174.16

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Solution

The fourth proportional to 13,179.33, 19,766.14 and 4,174.16 is: 6,260.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,179.33 : 19,766.14 = 4,174.16 : x
  2. Step 2: Convert to fraction form
    13,179.33/19,766.14 = 4,174.16/x
  3. Step 3: Cross multiply
    13,179.33x = 19,766.14 × 4,174.16
  4. Step 4: Simplify right side
    13,179.33x = 82,506,921.68
  5. Step 5: Solve for x
    x = 82,506,921.68/13,179.33
  6. Step 6: Final answer
    x = 6,260.33

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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.