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Finding the Fourth Proportional to 16,561.72, 24,842.22 and 9,631

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Solution

The fourth proportional to 16,561.72, 24,842.22 and 9,631 is: 14,446.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,561.72 : 24,842.22 = 9,631 : x
  2. Step 2: Convert to fraction form
    16,561.72/24,842.22 = 9,631/x
  3. Step 3: Cross multiply
    16,561.72x = 24,842.22 × 9,631
  4. Step 4: Simplify right side
    16,561.72x = 239,255,420.82
  5. Step 5: Solve for x
    x = 239,255,420.82/16,561.72
  6. Step 6: Final answer
    x = 14,446.29

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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.