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Finding the Fourth Proportional to 20,674.16, 30,986.63 and 14,400.20

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Solution

The fourth proportional to 20,674.16, 30,986.63 and 14,400.20 is: 21,583.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,674.16 : 30,986.63 = 14,400.20 : x
  2. Step 2: Convert to fraction form
    20,674.16/30,986.63 = 14,400.20/x
  3. Step 3: Cross multiply
    20,674.16x = 30,986.63 × 14,400.20
  4. Step 4: Simplify right side
    20,674.16x = 446,213,669.33
  5. Step 5: Solve for x
    x = 446,213,669.33/20,674.16
  6. Step 6: Final answer
    x = 21,583.16

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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.