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Finding the Fourth Proportional to 16,264.35, 24,379.89 and 9,229.50

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Solution

The fourth proportional to 16,264.35, 24,379.89 and 9,229.50 is: 13,834.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,264.35 : 24,379.89 = 9,229.50 : x
  2. Step 2: Convert to fraction form
    16,264.35/24,379.89 = 9,229.50/x
  3. Step 3: Cross multiply
    16,264.35x = 24,379.89 × 9,229.50
  4. Step 4: Simplify right side
    16,264.35x = 225,014,194.76
  5. Step 5: Solve for x
    x = 225,014,194.76/16,264.35
  6. Step 6: Final answer
    x = 13,834.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.