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Finding the Fourth Proportional to 17,882.68, 24,676.95 and 11,167.91

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Solution

The fourth proportional to 17,882.68, 24,676.95 and 11,167.91 is: 15,411.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,882.68 : 24,676.95 = 11,167.91 : x
  2. Step 2: Convert to fraction form
    17,882.68/24,676.95 = 11,167.91/x
  3. Step 3: Cross multiply
    17,882.68x = 24,676.95 × 11,167.91
  4. Step 4: Simplify right side
    17,882.68x = 275,589,956.67
  5. Step 5: Solve for x
    x = 275,589,956.67/17,882.68
  6. Step 6: Final answer
    x = 15,411.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.