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Finding the Fourth Proportional to 21,105.94, 31,658.31 and 8,622.43

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Solution

The fourth proportional to 21,105.94, 31,658.31 and 8,622.43 is: 12,933.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,105.94 : 31,658.31 = 8,622.43 : x
  2. Step 2: Convert to fraction form
    21,105.94/31,658.31 = 8,622.43/x
  3. Step 3: Cross multiply
    21,105.94x = 31,658.31 × 8,622.43
  4. Step 4: Simplify right side
    21,105.94x = 272,971,561.89
  5. Step 5: Solve for x
    x = 272,971,561.89/21,105.94
  6. Step 6: Final answer
    x = 12,933.40

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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.