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Finding the Fourth Proportional to 20,047.50, 27,646.72 and 14,410.20

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Solution

The fourth proportional to 20,047.50, 27,646.72 and 14,410.20 is: 19,872.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,047.50 : 27,646.72 = 14,410.20 : x
  2. Step 2: Convert to fraction form
    20,047.50/27,646.72 = 14,410.20/x
  3. Step 3: Cross multiply
    20,047.50x = 27,646.72 × 14,410.20
  4. Step 4: Simplify right side
    20,047.50x = 398,394,832.19
  5. Step 5: Solve for x
    x = 398,394,832.19/20,047.50
  6. Step 6: Final answer
    x = 19,872.54

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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.