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Finding the Fourth Proportional to 17,822.38, 24,596.72 and 10,269.00

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Solution

The fourth proportional to 17,822.38, 24,596.72 and 10,269.00 is: 14,172.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,822.38 : 24,596.72 = 10,269.00 : x
  2. Step 2: Convert to fraction form
    17,822.38/24,596.72 = 10,269.00/x
  3. Step 3: Cross multiply
    17,822.38x = 24,596.72 × 10,269.00
  4. Step 4: Simplify right side
    17,822.38x = 252,583,543.35
  5. Step 5: Solve for x
    x = 252,583,543.35/17,822.38
  6. Step 6: Final answer
    x = 14,172.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.