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Finding the Fourth Proportional to 17,676.93, 26,509.76 and 5,828.50

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Solution

The fourth proportional to 17,676.93, 26,509.76 and 5,828.50 is: 8,740.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,676.93 : 26,509.76 = 5,828.50 : x
  2. Step 2: Convert to fraction form
    17,676.93/26,509.76 = 5,828.50/x
  3. Step 3: Cross multiply
    17,676.93x = 26,509.76 × 5,828.50
  4. Step 4: Simplify right side
    17,676.93x = 154,512,136.16
  5. Step 5: Solve for x
    x = 154,512,136.16/17,676.93
  6. Step 6: Final answer
    x = 8,740.89

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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.