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Finding the Fourth Proportional to 12,402.82, 17,109.93 and 7,365.43

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Solution

The fourth proportional to 12,402.82, 17,109.93 and 7,365.43 is: 10,160.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,402.82 : 17,109.93 = 7,365.43 : x
  2. Step 2: Convert to fraction form
    12,402.82/17,109.93 = 7,365.43/x
  3. Step 3: Cross multiply
    12,402.82x = 17,109.93 × 7,365.43
  4. Step 4: Simplify right side
    12,402.82x = 126,021,991.72
  5. Step 5: Solve for x
    x = 126,021,991.72/12,402.82
  6. Step 6: Final answer
    x = 10,160.75

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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.