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Finding the Fourth Proportional to 17,103.75, 25,655.38 and 5,416.97

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Solution

The fourth proportional to 17,103.75, 25,655.38 and 5,416.97 is: 8,125.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,103.75 : 25,655.38 = 5,416.97 : x
  2. Step 2: Convert to fraction form
    17,103.75/25,655.38 = 5,416.97/x
  3. Step 3: Cross multiply
    17,103.75x = 25,655.38 × 5,416.97
  4. Step 4: Simplify right side
    17,103.75x = 138,974,423.80
  5. Step 5: Solve for x
    x = 138,974,423.80/17,103.75
  6. Step 6: Final answer
    x = 8,125.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.