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Finding the Fourth Proportional to 19,778.40, 29,628.72 and 11,967.84

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Solution

The fourth proportional to 19,778.40, 29,628.72 and 11,967.84 is: 17,928.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,778.40 : 29,628.72 = 11,967.84 : x
  2. Step 2: Convert to fraction form
    19,778.40/29,628.72 = 11,967.84/x
  3. Step 3: Cross multiply
    19,778.40x = 29,628.72 × 11,967.84
  4. Step 4: Simplify right side
    19,778.40x = 354,591,780.36
  5. Step 5: Solve for x
    x = 354,591,780.36/19,778.40
  6. Step 6: Final answer
    x = 17,928.23

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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.