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Finding the Fourth Proportional to 22,281.96, 30,782.49 and 14,643.42

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Solution

The fourth proportional to 22,281.96, 30,782.49 and 14,643.42 is: 20,229.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,281.96 : 30,782.49 = 14,643.42 : x
  2. Step 2: Convert to fraction form
    22,281.96/30,782.49 = 14,643.42/x
  3. Step 3: Cross multiply
    22,281.96x = 30,782.49 × 14,643.42
  4. Step 4: Simplify right side
    22,281.96x = 450,760,929.72
  5. Step 5: Solve for x
    x = 450,760,929.72/22,281.96
  6. Step 6: Final answer
    x = 20,229.86

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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.