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Finding the Fourth Proportional to 22,282.96, 30,783.87 and 14,644.42

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Solution

The fourth proportional to 22,282.96, 30,783.87 and 14,644.42 is: 20,231.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,282.96 : 30,783.87 = 14,644.42 : x
  2. Step 2: Convert to fraction form
    22,282.96/30,783.87 = 14,644.42/x
  3. Step 3: Cross multiply
    22,282.96x = 30,783.87 × 14,644.42
  4. Step 4: Simplify right side
    22,282.96x = 450,811,921.51
  5. Step 5: Solve for x
    x = 450,811,921.51/22,282.96
  6. Step 6: Final answer
    x = 20,231.24

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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.