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Finding the Fourth Proportional to 17,103.88, 25,656.54 and 5,416.84

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Solution

The fourth proportional to 17,103.88, 25,656.54 and 5,416.84 is: 8,125.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,103.88 : 25,656.54 = 5,416.84 : x
  2. Step 2: Convert to fraction form
    17,103.88/25,656.54 = 5,416.84/x
  3. Step 3: Cross multiply
    17,103.88x = 25,656.54 × 5,416.84
  4. Step 4: Simplify right side
    17,103.88x = 138,977,372.13
  5. Step 5: Solve for x
    x = 138,977,372.13/17,103.88
  6. Step 6: Final answer
    x = 8,125.49

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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.