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Finding the Fourth Proportional to 21,928.80, 32,893.50 and 7,137.78

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Solution

The fourth proportional to 21,928.80, 32,893.50 and 7,137.78 is: 10,706.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,928.80 : 32,893.50 = 7,137.78 : x
  2. Step 2: Convert to fraction form
    21,928.80/32,893.50 = 7,137.78/x
  3. Step 3: Cross multiply
    21,928.80x = 32,893.50 × 7,137.78
  4. Step 4: Simplify right side
    21,928.80x = 234,786,566.43
  5. Step 5: Solve for x
    x = 234,786,566.43/21,928.80
  6. Step 6: Final answer
    x = 10,706.77

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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.