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Finding the Fourth Proportional to 24,388.58, 36,583.92 and 8,389.14

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Solution

The fourth proportional to 24,388.58, 36,583.92 and 8,389.14 is: 12,584.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,388.58 : 36,583.92 = 8,389.14 : x
  2. Step 2: Convert to fraction form
    24,388.58/36,583.92 = 8,389.14/x
  3. Step 3: Cross multiply
    24,388.58x = 36,583.92 × 8,389.14
  4. Step 4: Simplify right side
    24,388.58x = 306,907,626.63
  5. Step 5: Solve for x
    x = 306,907,626.63/24,388.58
  6. Step 6: Final answer
    x = 12,584.07

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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.