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Finding the Fourth Proportional to 24,167.64, 36,249.84 and 6,636

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Solution

The fourth proportional to 24,167.64, 36,249.84 and 6,636 is: 9,953.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,167.64 : 36,249.84 = 6,636 : x
  2. Step 2: Convert to fraction form
    24,167.64/36,249.84 = 6,636/x
  3. Step 3: Cross multiply
    24,167.64x = 36,249.84 × 6,636
  4. Step 4: Simplify right side
    24,167.64x = 240,553,938.24
  5. Step 5: Solve for x
    x = 240,553,938.24/24,167.64
  6. Step 6: Final answer
    x = 9,953.56

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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.