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Finding the Fourth Proportional to 17,103.70, 25,655.60 and 5,416.93

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Solution

The fourth proportional to 17,103.70, 25,655.60 and 5,416.93 is: 8,125.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,103.70 : 25,655.60 = 5,416.93 : x
  2. Step 2: Convert to fraction form
    17,103.70/25,655.60 = 5,416.93/x
  3. Step 3: Cross multiply
    17,103.70x = 25,655.60 × 5,416.93
  4. Step 4: Simplify right side
    17,103.70x = 138,974,589.31
  5. Step 5: Solve for x
    x = 138,974,589.31/17,103.70
  6. Step 6: Final answer
    x = 8,125.41

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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.