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Finding the Fourth Proportional to 17,676.59, 24,400.26 and 11,710.20

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Solution

The fourth proportional to 17,676.59, 24,400.26 and 11,710.20 is: 16,164.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,676.59 : 24,400.26 = 11,710.20 : x
  2. Step 2: Convert to fraction form
    17,676.59/24,400.26 = 11,710.20/x
  3. Step 3: Cross multiply
    17,676.59x = 24,400.26 × 11,710.20
  4. Step 4: Simplify right side
    17,676.59x = 285,731,866.10
  5. Step 5: Solve for x
    x = 285,731,866.10/17,676.59
  6. Step 6: Final answer
    x = 16,164.42

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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.