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Finding the Fourth Proportional to 20,440.68, 30,617.82 and 9,356.64

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Solution

The fourth proportional to 20,440.68, 30,617.82 and 9,356.64 is: 14,015.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,440.68 : 30,617.82 = 9,356.64 : x
  2. Step 2: Convert to fraction form
    20,440.68/30,617.82 = 9,356.64/x
  3. Step 3: Cross multiply
    20,440.68x = 30,617.82 × 9,356.64
  4. Step 4: Simplify right side
    20,440.68x = 286,479,919.32
  5. Step 5: Solve for x
    x = 286,479,919.32/20,440.68
  6. Step 6: Final answer
    x = 14,015.19

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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.