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Finding the Fourth Proportional to 39,786.96, 59,688 and 11,706.96

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Solution

The fourth proportional to 39,786.96, 59,688 and 11,706.96 is: 17,562.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,786.96 : 59,688 = 11,706.96 : x
  2. Step 2: Convert to fraction form
    39,786.96/59,688 = 11,706.96/x
  3. Step 3: Cross multiply
    39,786.96x = 59,688 × 11,706.96
  4. Step 4: Simplify right side
    39,786.96x = 698,765,028.48
  5. Step 5: Solve for x
    x = 698,765,028.48/39,786.96
  6. Step 6: Final answer
    x = 17,562.66

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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.