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Finding the Fourth Proportional to 20,433.12, 30,644.82 and 5,641.74

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Solution

The fourth proportional to 20,433.12, 30,644.82 and 5,641.74 is: 8,461.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,433.12 : 30,644.82 = 5,641.74 : x
  2. Step 2: Convert to fraction form
    20,433.12/30,644.82 = 5,641.74/x
  3. Step 3: Cross multiply
    20,433.12x = 30,644.82 × 5,641.74
  4. Step 4: Simplify right side
    20,433.12x = 172,890,106.79
  5. Step 5: Solve for x
    x = 172,890,106.79/20,433.12
  6. Step 6: Final answer
    x = 8,461.27

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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.