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Finding the Fourth Proportional to 12,458.09, 17,190.90 and 7,153.71

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Solution

The fourth proportional to 12,458.09, 17,190.90 and 7,153.71 is: 9,871.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,458.09 : 17,190.90 = 7,153.71 : x
  2. Step 2: Convert to fraction form
    12,458.09/17,190.90 = 7,153.71/x
  3. Step 3: Cross multiply
    12,458.09x = 17,190.90 × 7,153.71
  4. Step 4: Simplify right side
    12,458.09x = 122,978,713.24
  5. Step 5: Solve for x
    x = 122,978,713.24/12,458.09
  6. Step 6: Final answer
    x = 9,871.39

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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.