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Finding the Fourth Proportional to 39,676, 59,516.40 and 11,974.24

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Solution

The fourth proportional to 39,676, 59,516.40 and 11,974.24 is: 17,962.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,676 : 59,516.40 = 11,974.24 : x
  2. Step 2: Convert to fraction form
    39,676/59,516.40 = 11,974.24/x
  3. Step 3: Cross multiply
    39,676x = 59,516.40 × 11,974.24
  4. Step 4: Simplify right side
    39,676x = 712,663,657.54
  5. Step 5: Solve for x
    x = 712,663,657.54/39,676
  6. Step 6: Final answer
    x = 17,962.08

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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.