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Finding the Fourth Proportional to 20,009.98, 29,949.82 and 14,742.88

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Solution

The fourth proportional to 20,009.98, 29,949.82 and 14,742.88 is: 22,066.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,009.98 : 29,949.82 = 14,742.88 : x
  2. Step 2: Convert to fraction form
    20,009.98/29,949.82 = 14,742.88/x
  3. Step 3: Cross multiply
    20,009.98x = 29,949.82 × 14,742.88
  4. Step 4: Simplify right side
    20,009.98x = 441,546,528.57
  5. Step 5: Solve for x
    x = 441,546,528.57/20,009.98
  6. Step 6: Final answer
    x = 22,066.32

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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.