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Finding the Fourth Proportional to 24,612, 36,857.68 and 22,245.28

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Solution

The fourth proportional to 24,612, 36,857.68 and 22,245.28 is: 33,313.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,612 : 36,857.68 = 22,245.28 : x
  2. Step 2: Convert to fraction form
    24,612/36,857.68 = 22,245.28/x
  3. Step 3: Cross multiply
    24,612x = 36,857.68 × 22,245.28
  4. Step 4: Simplify right side
    24,612x = 819,909,411.75
  5. Step 5: Solve for x
    x = 819,909,411.75/24,612
  6. Step 6: Final answer
    x = 33,313.40

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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.