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Finding the Fourth Proportional to 12,455.89, 17,186.10 and 7,416.88

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Solution

The fourth proportional to 12,455.89, 17,186.10 and 7,416.88 is: 10,233.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,455.89 : 17,186.10 = 7,416.88 : x
  2. Step 2: Convert to fraction form
    12,455.89/17,186.10 = 7,416.88/x
  3. Step 3: Cross multiply
    12,455.89x = 17,186.10 × 7,416.88
  4. Step 4: Simplify right side
    12,455.89x = 127,467,241.37
  5. Step 5: Solve for x
    x = 127,467,241.37/12,455.89
  6. Step 6: Final answer
    x = 10,233.49

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