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Finding the Fourth Proportional to 17,676.43, 26,509.01 and 5,827.99

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Solution

The fourth proportional to 17,676.43, 26,509.01 and 5,827.99 is: 8,740.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,676.43 : 26,509.01 = 5,827.99 : x
  2. Step 2: Convert to fraction form
    17,676.43/26,509.01 = 5,827.99/x
  3. Step 3: Cross multiply
    17,676.43x = 26,509.01 × 5,827.99
  4. Step 4: Simplify right side
    17,676.43x = 154,494,245.19
  5. Step 5: Solve for x
    x = 154,494,245.19/17,676.43
  6. Step 6: Final answer
    x = 8,740.13

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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.