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Finding the Fourth Proportional to 24,409.30, 36,613.94 and 8,823.28

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Solution

The fourth proportional to 24,409.30, 36,613.94 and 8,823.28 is: 13,234.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,409.30 : 36,613.94 = 8,823.28 : x
  2. Step 2: Convert to fraction form
    24,409.30/36,613.94 = 8,823.28/x
  3. Step 3: Cross multiply
    24,409.30x = 36,613.94 × 8,823.28
  4. Step 4: Simplify right side
    24,409.30x = 323,054,975.05
  5. Step 5: Solve for x
    x = 323,054,975.05/24,409.30
  6. Step 6: Final answer
    x = 13,234.91

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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.