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Finding the Fourth Proportional to 17,089, 25,634.46 and 4,777.96

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Solution

The fourth proportional to 17,089, 25,634.46 and 4,777.96 is: 7,167.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,089 : 25,634.46 = 4,777.96 : x
  2. Step 2: Convert to fraction form
    17,089/25,634.46 = 4,777.96/x
  3. Step 3: Cross multiply
    17,089x = 25,634.46 × 4,777.96
  4. Step 4: Simplify right side
    17,089x = 122,480,424.50
  5. Step 5: Solve for x
    x = 122,480,424.50/17,089
  6. Step 6: Final answer
    x = 7,167.21

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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.