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Finding the Fourth Proportional to 24,322.92, 36,489.24 and 7,684.50

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Solution

The fourth proportional to 24,322.92, 36,489.24 and 7,684.50 is: 11,528.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,322.92 : 36,489.24 = 7,684.50 : x
  2. Step 2: Convert to fraction form
    24,322.92/36,489.24 = 7,684.50/x
  3. Step 3: Cross multiply
    24,322.92x = 36,489.24 × 7,684.50
  4. Step 4: Simplify right side
    24,322.92x = 280,401,564.78
  5. Step 5: Solve for x
    x = 280,401,564.78/24,322.92
  6. Step 6: Final answer
    x = 11,528.29

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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.