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Finding the Fourth Proportional to 17,102, 25,654.44 and 4,790

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Solution

The fourth proportional to 17,102, 25,654.44 and 4,790 is: 7,185.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,102 : 25,654.44 = 4,790 : x
  2. Step 2: Convert to fraction form
    17,102/25,654.44 = 4,790/x
  3. Step 3: Cross multiply
    17,102x = 25,654.44 × 4,790
  4. Step 4: Simplify right side
    17,102x = 122,884,767.60
  5. Step 5: Solve for x
    x = 122,884,767.60/17,102
  6. Step 6: Final answer
    x = 7,185.40

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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.