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Finding the Fourth Proportional to 12,389.56, 17,097.42 and 7,675

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Solution

The fourth proportional to 12,389.56, 17,097.42 and 7,675 is: 10,591.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,389.56 : 17,097.42 = 7,675 : x
  2. Step 2: Convert to fraction form
    12,389.56/17,097.42 = 7,675/x
  3. Step 3: Cross multiply
    12,389.56x = 17,097.42 × 7,675
  4. Step 4: Simplify right side
    12,389.56x = 131,222,698.50
  5. Step 5: Solve for x
    x = 131,222,698.50/12,389.56
  6. Step 6: Final answer
    x = 10,591.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.