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Finding the Fourth Proportional to 20,814.80, 31,221.72 and 9,720.08

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Solution

The fourth proportional to 20,814.80, 31,221.72 and 9,720.08 is: 14,579.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,814.80 : 31,221.72 = 9,720.08 : x
  2. Step 2: Convert to fraction form
    20,814.80/31,221.72 = 9,720.08/x
  3. Step 3: Cross multiply
    20,814.80x = 31,221.72 × 9,720.08
  4. Step 4: Simplify right side
    20,814.80x = 303,477,616.14
  5. Step 5: Solve for x
    x = 303,477,616.14/20,814.80
  6. Step 6: Final answer
    x = 14,579.90

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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.