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Finding the Fourth Proportional to 21,927.60, 32,891.40 and 20,105.10

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Solution

The fourth proportional to 21,927.60, 32,891.40 and 20,105.10 is: 30,157.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,927.60 : 32,891.40 = 20,105.10 : x
  2. Step 2: Convert to fraction form
    21,927.60/32,891.40 = 20,105.10/x
  3. Step 3: Cross multiply
    21,927.60x = 32,891.40 × 20,105.10
  4. Step 4: Simplify right side
    21,927.60x = 661,284,886.14
  5. Step 5: Solve for x
    x = 661,284,886.14/21,927.60
  6. Step 6: Final answer
    x = 30,157.65

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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.