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Finding the Fourth Proportional to 20,914.66, 28,847.10 and 14,198.14

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Solution

The fourth proportional to 20,914.66, 28,847.10 and 14,198.14 is: 19,583.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,914.66 : 28,847.10 = 14,198.14 : x
  2. Step 2: Convert to fraction form
    20,914.66/28,847.10 = 14,198.14/x
  3. Step 3: Cross multiply
    20,914.66x = 28,847.10 × 14,198.14
  4. Step 4: Simplify right side
    20,914.66x = 409,575,164.39
  5. Step 5: Solve for x
    x = 409,575,164.39/20,914.66
  6. Step 6: Final answer
    x = 19,583.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.