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Finding the Fourth Proportional to 21,928.30, 32,892.75 and 7,137.30

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Solution

The fourth proportional to 21,928.30, 32,892.75 and 7,137.30 is: 10,706.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,928.30 : 32,892.75 = 7,137.30 : x
  2. Step 2: Convert to fraction form
    21,928.30/32,892.75 = 7,137.30/x
  3. Step 3: Cross multiply
    21,928.30x = 32,892.75 × 7,137.30
  4. Step 4: Simplify right side
    21,928.30x = 234,765,424.58
  5. Step 5: Solve for x
    x = 234,765,424.58/21,928.30
  6. Step 6: Final answer
    x = 10,706.05

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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.