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Finding the Fourth Proportional to 20,477.64, 30,662.82 and 14,218.68

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Solution

The fourth proportional to 20,477.64, 30,662.82 and 14,218.68 is: 21,290.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,477.64 : 30,662.82 = 14,218.68 : x
  2. Step 2: Convert to fraction form
    20,477.64/30,662.82 = 14,218.68/x
  3. Step 3: Cross multiply
    20,477.64x = 30,662.82 × 14,218.68
  4. Step 4: Simplify right side
    20,477.64x = 435,984,825.48
  5. Step 5: Solve for x
    x = 435,984,825.48/20,477.64
  6. Step 6: Final answer
    x = 21,290.77

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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.