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Finding the Fourth Proportional to 28,778.36, 39,705 and 16,200.68

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Solution

The fourth proportional to 28,778.36, 39,705 and 16,200.68 is: 22,351.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,778.36 : 39,705 = 16,200.68 : x
  2. Step 2: Convert to fraction form
    28,778.36/39,705 = 16,200.68/x
  3. Step 3: Cross multiply
    28,778.36x = 39,705 × 16,200.68
  4. Step 4: Simplify right side
    28,778.36x = 643,247,999.40
  5. Step 5: Solve for x
    x = 643,247,999.40/28,778.36
  6. Step 6: Final answer
    x = 22,351.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.