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Finding the Fourth Proportional to 17,098, 25,627.77 and 12,924.49

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Solution

The fourth proportional to 17,098, 25,627.77 and 12,924.49 is: 19,372.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,098 : 25,627.77 = 12,924.49 : x
  2. Step 2: Convert to fraction form
    17,098/25,627.77 = 12,924.49/x
  3. Step 3: Cross multiply
    17,098x = 25,627.77 × 12,924.49
  4. Step 4: Simplify right side
    17,098x = 331,225,857.09
  5. Step 5: Solve for x
    x = 331,225,857.09/17,098
  6. Step 6: Final answer
    x = 19,372.20

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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.