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Finding the Fourth Proportional to 16,257.27, 22,420.98 and 10,589.88

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Solution

The fourth proportional to 16,257.27, 22,420.98 and 10,589.88 is: 14,604.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,257.27 : 22,420.98 = 10,589.88 : x
  2. Step 2: Convert to fraction form
    16,257.27/22,420.98 = 10,589.88/x
  3. Step 3: Cross multiply
    16,257.27x = 22,420.98 × 10,589.88
  4. Step 4: Simplify right side
    16,257.27x = 237,435,487.68
  5. Step 5: Solve for x
    x = 237,435,487.68/16,257.27
  6. Step 6: Final answer
    x = 14,604.88

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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.