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Finding the Fourth Proportional to 12,493.23, 17,241.29 and 7,115.77

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Solution

The fourth proportional to 12,493.23, 17,241.29 and 7,115.77 is: 9,820.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,493.23 : 17,241.29 = 7,115.77 : x
  2. Step 2: Convert to fraction form
    12,493.23/17,241.29 = 7,115.77/x
  3. Step 3: Cross multiply
    12,493.23x = 17,241.29 × 7,115.77
  4. Step 4: Simplify right side
    12,493.23x = 122,685,054.14
  5. Step 5: Solve for x
    x = 122,685,054.14/12,493.23
  6. Step 6: Final answer
    x = 9,820.12

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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.