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Finding the Fourth Proportional to 21,164.01, 31,742.96 and 14,819.64

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Solution

The fourth proportional to 21,164.01, 31,742.96 and 14,819.64 is: 22,227.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,164.01 : 31,742.96 = 14,819.64 : x
  2. Step 2: Convert to fraction form
    21,164.01/31,742.96 = 14,819.64/x
  3. Step 3: Cross multiply
    21,164.01x = 31,742.96 × 14,819.64
  4. Step 4: Simplify right side
    21,164.01x = 470,419,165.64
  5. Step 5: Solve for x
    x = 470,419,165.64/21,164.01
  6. Step 6: Final answer
    x = 22,227.32

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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.